10th Class Mathematics Coordinate Geometry Question Bank

done MCQs - Coordinate Geometry Total Questions - 100

• question_answer1)
  The distance of the point \[(5,-4)\] from \[X-axis\] is:
  A)
  5 units done clear
  B)
  4 units done clear
  C)
  1 unit done clear
  D)
  9 units done clear
  View Solution play_arrow

• question_answer2)
  The distance of the point \[(3,5)\] from the X-axis is:
  A)
  3 units done clear
  B)
  5 units done clear
  C)
  8 units done clear
  D)
  4 units done clear
  View Solution play_arrow

• question_answer3)
  If the distance between \[A(k,3)\] and \[B(2,3)\] is 5, then the value of k is:
  A)
  5 done clear
  B)
  6 done clear
  C)
  7 done clear
  D)
  8 done clear
  View Solution play_arrow

• question_answer4)
  If the points \[A(4,3)\] and \[B(x,5)\] are on the circle with centre \[O(2,3),\] then the value of k is:
  A)
  5 done clear
  B)
  6 done clear
  C)
  2 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer5)
  If points \[A(5,p),\] \[B(1,5),\] \[C(2,1)\] and \[D(6,2)\] form a square A6CD, then \[p=\]
  A)
  7 done clear
  B)
  3 done clear
  C)
  6 done clear
  D)
  8 done clear
  View Solution play_arrow

• question_answer6)
  The perimeter of the triangle formed by the points \[(0,0),\]\[(2,0),\] and \[(2,2)\] is:
  A)
  \[1-2\sqrt{2}\] done clear
  B)
  \[2\sqrt{2}+1\] done clear
  C)
  \[4+\sqrt{2}\] done clear
  D)
  \[4+2\sqrt{2}\] done clear
  View Solution play_arrow

• question_answer7)
  Which of the points\[A(1,3),\]\[B(-3,2),\] \[C(-3,2),\] and D(4,1) is nearest to the origin?
  A)
  A done clear
  B)
  B done clear
  C)
  C done clear
  D)
  D done clear
  View Solution play_arrow

• question_answer8)
  If the point \[(x,y)\] is equidistant from the point \[(2,1)\] and \[(1,-2),\]then:
  A)
  \[\text{x}+\text{3y}=0\] done clear
  B)
  \[\text{3x}+\text{y}=0\] done clear
  C)
  \[\text{x}+\text{2y}=0\] done clear
  D)
  \[\text{3x}+\text{2y}=0\] done clear
  View Solution play_arrow

• question_answer9)
  The points \[(2,4),\] \[(2,6)\] and \[(2+\sqrt{3},\,5)\] are the vertices of:
  A)
  an equilateral triangle done clear
  B)
  an isosceles triangle done clear
  C)
  a right triangle done clear
  D)
  a right angled isosceles triangle done clear
  View Solution play_arrow

• question_answer10)
  If  \[A(5,3),\] \[B(11,-5)\] and x are the vertices of a right triangle, right angled at P, then
  A)
  \[-2\] or \[4\] done clear
  B)
  \[-2\] or \[-4\] done clear
  C)
  \[2\] or \[-4\] done clear
  D)
  \[2\] or \[2\] done clear
  View Solution play_arrow

• question_answer11)
  The x-coordinate of a point P is twice its y-coordinate. If P is equidistant from \[Q(2,-5)\] and \[R(-3,6),\]then the coordinates of P are:
  A)
  \[(16,8)\] done clear
  B)
  \[(14,7)\] done clear
  C)
  \[(18,9)\] done clear
  D)
  \[(10,5)\] done clear
  View Solution play_arrow

• question_answer12)
  The point equidistant from the points \[A(0,0),\] \[B(2,0)\]and \[C(0,2)\] is:
  A)
  \[(1,2)\] done clear
  B)
  \[(2,1)\] done clear
  C)
  \[(2,2)\] done clear
  D)
  \[(1,1)\] done clear
  View Solution play_arrow

• question_answer13)
  A line segment is of length 10 units. If the coordinates of its end are  and the abscissa of the other end is 10, then its ordinate is:
  A)
  9 or 6 done clear
  B)
  3 or -9 done clear
  C)
  -3 or 9 done clear
  D)
  9 or -6 done clear
  View Solution play_arrow

• question_answer14)
  The distance between the points \[(a\cos \theta +b\sin \theta ,\,0)\] and \[(0,a\sin \theta -b\cos \theta )\] is:
  A)
  \[{{a}^{2}}+{{b}^{2}}\] done clear
  B)
  \[a+b\] done clear
  C)
  \[{{a}^{2}}-{{b}^{2}}\] done clear
  D)
  \[\sqrt{{{a}^{2}}+{{b}^{2}}}\] done clear
  View Solution play_arrow

• question_answer15)
  Four points \[(0,-1),\] \[(6,7),\] \[(-2,3)\] and \[(8,3)\] are the vertices of a rectangle. Then its area is:
  A)
  \[50\,sq.\,units\] done clear
  B)
  \[45\,sq.\,units\] done clear
  C)
  \[40\,sq.\,units\] done clear
  D)
  \[30\,sq.\,units\] done clear
  View Solution play_arrow

• question_answer16)
  The centre of a circle is \[(2a,\,a-7)\]. If the circle passes through the point \[(1,-9)\] and has diameter \[10\sqrt{2}\]c units, then the value of a is:
  A)
  \[9\] done clear
  B)
  \[-\sqrt{3}\] done clear
  C)
  \[\sqrt{3}\]         done clear
  D)
  \[\pm \sqrt{3}\] done clear
  View Solution play_arrow

• question_answer17)
  The points \[A(9,0),\] \[B(9,6),\] \[C(-9,6)\] and \[D(-9,0)\] are the vertices of a:
  A)
  square done clear
  B)
  rectangle done clear
  C)
  rhombus done clear
  D)
  trapezium done clear
  View Solution play_arrow

• question_answer18)
  The distance of the point \[P(2,3)\] from the X-axis is:                                              (NCERT EXEMPIAR)
  A)
  2 done clear
  B)
  3 done clear
  C)
  1 done clear
  D)
  5 done clear
  View Solution play_arrow

• question_answer19)
  The distance between the points \[A(0,6)\] and \[B(0,-2)\] is:                                     (NCERT EXEMPIAR)
  A)
  6 done clear
  B)
  8 done clear
  C)
  4 done clear
  D)
  2 done clear
  View Solution play_arrow

• question_answer20)
  The distance between the points \[(0,5)\] and \[(-5,0)\] is:                              (NCERT EXEMPLAR)
  A)
  \[5\] done clear
  B)
  \[5\sqrt{2}\] done clear
  C)
  \[2\sqrt{5}\] done clear
  D)
  \[10\] done clear
  View Solution play_arrow

• question_answer21)
  The points \[(-4,0),\] \[(4,0),\] \[(0,3)\] are the vertices of a/an:                                  (NCERT EXEMPLAR)
  A)
  right triangle done clear
  B)
  isosceles triangle done clear
  C)
  equilateral triangle done clear
  D)
  scalene triangle done clear
  View Solution play_arrow

• question_answer22)

  The coordinates of the point which is equidistant from the three vertices of the \[\Delta AOB\] as shown in the figure is: (NCERT EXEMPIAR)

   
  A)
  \[(x,y)\] done clear
  B)
  \[(y,x)\] done clear
  C)
  \[\left( \frac{x}{2},\frac{y}{2} \right)\] done clear
  D)
  \[\left( \frac{y}{2},\frac{x}{2} \right)\] done clear
  View Solution play_arrow

• question_answer23)
  If the distance between the points \[(2,-2)\] and \[(-1,x)\] is 5, one of the values of x is:     (NCERT EXEMPLAR)
  A)
  \[-2\] done clear
  B)
  \[2\] done clear
  C)
  \[-1\] done clear
  D)
  \[1\] done clear
  View Solution play_arrow

• question_answer24)
  The coordinates of the point which is reflection of point \[(-3,5)\] in X-axis is:                                      (CBSE 2020)
  A)
  \[(3,5)\] done clear
  B)
  \[(3,-5)\] done clear
  C)
  \[(-3,-5)\] done clear
  D)
  \[(-3,5)\] done clear
  View Solution play_arrow

• question_answer25)
  The point P on X-axis equidistant from the points \[A(-1,0)\] and \[B(5,0)\] is:
  A)
  \[(2,0)\] done clear
  B)
  \[(0,2)\] done clear
  C)
  \[(3,0)\] done clear
  D)
  \[(2,2)\] done clear
  View Solution play_arrow

• question_answer26)
  The angle subtended by joining points \[A(3,0)\] and \[B(0,-2)\] to the origin point is:
  A)
  \[45{}^\circ \] done clear
  B)
  \[90{}^\circ \] done clear
  C)
  \[60{}^\circ \] done clear
  D)
  \[30{}^\circ \] done clear
  View Solution play_arrow

• question_answer27)
  If the point \[P(k-1,2)\] is equidistant from the points \[P(k-1,2)\] and \[B(k,5),\] the value of k is/are:
  A)
  \[2,3\] done clear
  B)
  \[-2,4\] done clear
  C)
  \[1,5\] done clear
  D)
  \[5,-1\] done clear
  View Solution play_arrow

• question_answer28)
  The distance between the points \[P(a\,\sin \phi ,\,0)\] and \[Q(0,-a\,\cos \phi )\] is:
  A)
  \[{{a}^{2}}\] done clear
  B)
  \[1\] done clear
  C)
  \[2a\] done clear
  D)
  \[a\] done clear
  View Solution play_arrow

• question_answer29)
  The distance of the point \[(-12,5)\] from the origin is:                                              (CBSE 2020)
  A)
  \[12\] done clear
  B)
  \[5\] done clear
  C)
  \[13\] done clear
  D)
  \[169\] done clear
  View Solution play_arrow

• question_answer30)
  The coordinates of a point on X-axis which is equidistant from the points \[(-3,4)\] and \[(7,6)\] are:
  A)
  \[(1,0)\] done clear
  B)
  \[(-2,0)\] done clear
  C)
  \[(3,0)\] done clear
  D)
  \[(4,0)\] done clear
  View Solution play_arrow

• question_answer31)
  The distance of the point \[P(-3,4)\] from the X-axis is:                                             (CBSE 2012)  
  A)
  3 units done clear
  B)
  4 units done clear
  C)
  1 unit done clear
  D)
  2 units done clear
  View Solution play_arrow

• question_answer32)
  The distance between the points \[(a,b)\] and \[(-a,-b)\] is:                                         (CBSE 2019)
  A)
  \[\sqrt{{{a}^{2}}+{{b}^{2}}}\] units  done clear
  B)
  \[\frac{1}{2}\sqrt{{{a}^{2}}+{{b}^{2}}}\] units done clear
  C)
  \[2\sqrt{{{a}^{2}}+{{b}^{2}}}\] units done clear
  D)
  \[\sqrt{a+b}\] units done clear
  View Solution play_arrow

• question_answer33)
  ABCD is a rectangle whose three vertices are \[(4,3),\]\[(4,1)\]and \[(0,1)\]. The length of its diagonal is:  (CBSE 2014)
  A)
  \[2\sqrt{5}\]units done clear
  B)
  \[\sqrt{5}\]units done clear
  C)
  \[\frac{1}{\sqrt{5}}\]units done clear
  D)
  \[\frac{2}{\sqrt{5}}\]units done clear
  View Solution play_arrow

• question_answer34)
  If the distance between the points \[(4,k)\] and \[(1,0)\]is 5, there what can be the possible values of k?  [CBSE 2020]
  A)
  \[\pm 2\] done clear
  B)
  \[\pm 4\] done clear
  C)
  \[\pm 3\] done clear
  D)
  \[\pm 5\] done clear
  View Solution play_arrow

• question_answer35)
  The coordinates of the image of the point \[(-4,5)\] in Y-axis are:
  A)
  \[(4,5)\] done clear
  B)
  \[(4,-5)\] done clear
  C)
  \[(-4,-5)\] done clear
  D)
  \[(0,5)\] done clear
  View Solution play_arrow

• question_answer36)
  The distance between the points \[(1,0)\] and \[(2,\cot \theta )\] is:
  A)
  \[|\sin \theta |\] done clear
  B)
  \[|\cot \theta |\] done clear
  C)
  \[|\sec \theta |\] done clear
  D)
  \[|\text{cosec}\theta |\] done clear
  View Solution play_arrow

• question_answer37)
  If A and B are the points \[(-6,7)\] and \[(-1,-5)\] respectively, then the distance \[2AB\] is equal to:       (CBSE 2011)
  A)
  \[13\] done clear
  B)
  \[26\] done clear
  C)
  \[169\] done clear
  D)
  \[238\] done clear
  View Solution play_arrow

• question_answer38)
  Point A is on the Y-axis at a distance of 4 units from origin. If coordinates of point B are \[(-3,0),\] the length of \[AB\] is: (CBSE 20I3)
  A)
  \[\text{7 units}\] done clear
  B)
  \[\text{5 units}\] done clear
  C)
  \[\text{49 units}\] done clear
  D)
  \[\text{25}\,\text{units}\] done clear
  View Solution play_arrow

• question_answer39)
  A triangle with vertices \[(4,0),\] \[(-1,-1)\] and \[(3,5)\] is a/an:
  A)
  equilateral triangle done clear
  B)
  right-angled triangle done clear
  C)
  isosceles right-angled triangle done clear
  D)
  None of the above done clear
  View Solution play_arrow

• question_answer40)
  The points \[(2,5),\] \[(4,-1)\] and \[(6,-7)\] are vertices of an/a:
  A)
  isosceles triangle done clear
  B)
  equilateral triangle done clear
  C)
  right angled triangle done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer41)
  If the segment joining the points \[(a,b)\] and \[(c,d)\] subtends a right angle at the origin, then:
  A)
  \[ac-bd=0\] done clear
  B)
  \[ac+bd=0\] done clear
  C)
  \[ab+cd=0\] done clear
  D)
  \[ab-cd=0\] done clear
  View Solution play_arrow

• question_answer42)
  If \[A=({{a}^{2}},2a)\] and \[B=\left( \frac{1}{{{a}^{2}}},-\frac{2}{a} \right)\] and \[S=(1,0),\] then \[\frac{1}{SA}+\frac{1}{SB}=\]
  A)
  \[2\] done clear
  B)
  \[\frac{1}{2}\] done clear
  C)
  \[1\] done clear
  D)
  \[\frac{1}{3}\] done clear
  View Solution play_arrow

• question_answer43)
  The triangle whose vertices are \[(0,0),\] \[(2,7,0)\] and \[(0,4,9)\] is a/an:
  A)
  equilateral triangle done clear
  B)
  right-angled triangle done clear
  C)
  isosceles triangle done clear
  D)
  obtuse-angled triangle done clear
  View Solution play_arrow

• question_answer44)
  The distance of point \[(h,k)\]from X-axis is:
  A)
  \[h\,\,\,units\] done clear
  B)
  \[|h|\,\,\,units\] done clear
  C)
  \[k\,\,\,units\] done clear
  D)
  \[|k|\,\,\,units\] done clear
  View Solution play_arrow

• question_answer45)
  The distance of point \[(\alpha ,\beta )\] from X-axis is:
  A)
  \[\alpha \,units\] done clear
  B)
  \[|\alpha |\,units\] done clear
  C)
  \[\beta \,units\] done clear
  D)
  \[|\beta |\,units\] done clear
  View Solution play_arrow

• question_answer46)
  The number of points on X-axis which are at a distance of 2 units from \[(2,4)\] is:
  A)
  \[1\] done clear
  B)
  \[2\] done clear
  C)
  \[0\] done clear
  D)
  \[3\] done clear
  View Solution play_arrow

• question_answer47)
  If the distance of the point \[(4,a)\] from X-axis is half of its distance from Y-axis, then a =
  A)
  \[\text{4 units}\] done clear
  B)
  \[\text{8 units}\] done clear
  C)
  \[\text{2 units}\] done clear
  D)
  \[\text{6 units}\] done clear
  View Solution play_arrow

• question_answer48)
  If the distance between the points \[(8,p)\] and \[(4,3)\] is 5 units then value of p is:
  A)
  6 done clear
  B)
  0 done clear
  C)
  both [a] and [b] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer49)
  If three points \[(0,0),\] \[(3,\sqrt{3)}\] and \[(3,\,\lambda )\] form an equilateral triangle, then \[\lambda \] equals:
  A)
  \[2\] done clear
  B)
  \[-3\] done clear
  C)
  \[-4\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer50)
  If the point \[P(p,q)\] is equidistant from the points \[A(a+b,\,\,b-a)\]and \[B(a-b,\,\,a+b),\] then:
  A)
  \[ap=by\] done clear
  B)
  \[bp=ay\] done clear
  C)
  \[ap+bq=0\] done clear
  D)
  \[bp+aq=0\] done clear
  View Solution play_arrow

• question_answer51)
  Find the length of the Longest side of the triangle formed by the line \[3x+4y=12\] with the coordinate axes:
  A)
  9 done clear
  B)
  16 done clear
  C)
  5 done clear
  D)
  7 done clear
  View Solution play_arrow

• question_answer52)
  If \[(-2,-1),\] \[(a,0),\] \[(4,b)\]and \[(1,2)\]are the vertices of a parallelogram, then the values of a and b are:
  A)
  \[1,3\] done clear
  B)
  \[1,4\] done clear
  C)
  \[2,3\] done clear
  D)
  \[3,1\] done clear
  View Solution play_arrow

• question_answer53)
  If \[P(-1,1)\] is the mid-point of the line segment joining \[A(-3,b)\] and \[B(1,b+4)\] then b =
  A)
  \[1\] done clear
  B)
  \[-1\] done clear
  C)
  \[2\] done clear
  D)
  \[0\] done clear
  View Solution play_arrow

• question_answer54)
  The ratio in which the line segment joining \[P({{x}_{1}},{{y}_{1}})\] and \[Q({{x}_{2}},{{y}_{2}})\] is divided by X-axis is:
  A)
  \[{{y}_{1}}:{{y}_{2}}\] done clear
  B)
  \[-{{y}_{1}}:{{y}_{2}}\] done clear
  C)
  \[{{x}_{1}}:{{x}_{2}}\] done clear
  D)
  \[-{{x}_{1}}:{{x}_{2}}\] done clear
  View Solution play_arrow

• question_answer55)
  In what ratio does the point \[P(3,4)\] divided the line segment joining the points \[A(1,2)\] and \[B(6,7)\] ?
  A)
  \[1:2\] done clear
  B)
  \[2:3\] done clear
  C)
  \[3:4\] done clear
  D)
  \[1:1\] done clear
  View Solution play_arrow

• question_answer56)
  The coordinates of the mid-point of the Line segment joining \[(-8,13)\]and \[(x,7)\] is \[(4,10)\]. Then the value of x is:
  A)
  16 done clear
  B)
  10 done clear
  C)
  4 done clear
  D)
  8 done clear
  View Solution play_arrow

• question_answer57)
  The ratio in which the X-axis divides the line segment joining \[A(3,6)\] and \[B(12,-3)\] is:
  A)
  \[2:1\] done clear
  B)
  \[1:2\] done clear
  C)
  \[-2:1\] done clear
  D)
  \[1:-2\] done clear
  View Solution play_arrow

• question_answer58)
  The distance of the mid-point of the line segment joining the point \[(6,8)\] and \[(2,4)\] from the point \[(1,2)\]is:
  A)
  \[\text{3 units}\] done clear
  B)
  \[\text{4 units}\] done clear
  C)
  \[\text{5 units}\] done clear
  D)
  \[\text{6 units}\] done clear
  View Solution play_arrow

• question_answer59)
  The coordinates of the fourth vertex of the rectangle formed by the point \[(0,0),\] \[(2,0)\] and \[(0,3)\] are:
  A)
  \[(3,0)\] done clear
  B)
  \[(0,2)\] done clear
  C)
  \[(2,3)\] done clear
  D)
  \[(3,2)\] done clear
  View Solution play_arrow

• question_answer60)
    The coordinates of the point, dividing the join of the points \[(5,0)\] and \[(0,4)\] in the ratio \[2:3\] internally, are:
  A)
  \[\left( 3,\frac{8}{5} \right)\] done clear
  B)
  \[\left( 1,\frac{4}{5} \right)\] done clear
  C)
  \[\left( \frac{5}{2},\frac{3}{4} \right)\] done clear
  D)
  \[\left( 2,\frac{12}{5} \right)\] done clear
  View Solution play_arrow

• question_answer61)
  The coordinates of vertices A, B and C of a triangle ABC are \[(0,-2),\] \[(4,1)\] and \[(0,4)\] respectively. Find the length of the median through B.
  A)
  1 done clear
  B)
  2 done clear
  C)
  3 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer62)
  If the mid-point of the line segment joining \[A(2a,\,4)\] and \[B(-2,3b)\] is \[M(1,2b+1),\] then the values of a and b respectively are:
  A)
  \[2,2\] done clear
  B)
  \[2,3\] done clear
  C)
  \[3,2\] done clear
  D)
  \[5,2\] done clear
  View Solution play_arrow

• question_answer63)
    A Line intersects the X-axis and Y-axis at the point P and Q respectively. If \[(3,-7)\] is the mid-point of PQ, then the coordinates of P and Q are:
  A)
  \[(3,0),\,\,(0,-7)\] done clear
  B)
  x\[(-14,0),\,(0,6)\] done clear
  C)
  \[(-7,0),\,(0,3)\] done clear
  D)
  \[(6,0),\,(0,-14)\] done clear
  View Solution play_arrow

• question_answer64)
   The coordinates of the circumcentre of the triangle formed by the points \[O(0,0),\]\[A(a,0)\] and \[B(0,b)\] are:
  A)
  \[(a,b)\] done clear
  B)
  \[\left( \frac{a}{2},\frac{b}{2} \right)\] done clear
  C)
  \[\left( \frac{b}{2},\frac{a}{2} \right)\] done clear
  D)
  \[(b,a)\] done clear
  View Solution play_arrow

• question_answer65)
  If the Line segment joining the points \[(3,-4)\] and \[(1,2)\] is triserted at points \[P(a,-2)\] and \[Q\left( \frac{5}{2},b \right),\] then:
  A)
  \[a=\frac{8}{3},\,b=\frac{2}{3}\]           done clear
  B)
  \[a=\frac{7}{3},\,b=0\] done clear
  C)
  \[a=\frac{1}{3},\,b=1\] done clear
  D)
  \[a=\frac{2}{3},\,b=\frac{1}{3}\] done clear
  View Solution play_arrow

• question_answer66)
  The point which divides the line segment joining the points \[(7,-6)\] and \[(3,4)\] in ratio \[1:2\] internally lies in the: (NCERT EXEMPLAR)
  A)
  I quadrant done clear
  B)
  II quadrant done clear
  C)
  III quadrant done clear
  D)
  IV quadrant done clear
  View Solution play_arrow

• question_answer67)
  The point which lies on the perpendicular bisector of the line segment joining the points \[A(-2,-5)\] and \[B(2,5)\] is: (NCERT EXEMPLAR)
  A)
  \[(0,0)\] done clear
  B)
  \[(0,2)\] done clear
  C)
  \[(2,0)\] done clear
  D)
  \[(-2,0)\] done clear
  View Solution play_arrow

• question_answer68)
  The fourth vertex D of a parallelogram \[ABCD\] whose there vertices are \[A(-2,3),\] \[B(6,7)\] and \[C(8,3)\] is (NCERT EXEMPR)
  A)
  \[(0,1)\] done clear
  B)
  \[(0,-1)\] done clear
  C)
  \[(-1,0)\] done clear
  D)
  \[(1,0)\] done clear
  View Solution play_arrow

• question_answer69)
  If the point \[P(2,1)\] lies on the line segment joining point \[A(4,2)\] and \[B(8,4),\] then: (ncert exemplar)
  A)
  \[AP=\frac{1}{3}AB\] done clear
  B)
  \[AP=PB\] done clear
  C)
  \[PB=\frac{1}{3}AB\] done clear
  D)
  \[AP=\frac{1}{2}AB\] done clear
  View Solution play_arrow

• question_answer70)
  If \[P\left( \frac{a}{3},4 \right)\] is the mid-point of the line segment joining the points \[Q(-6,5)\] and \[R(-2,3),\] then the value of a is: (NCERT EXEMPLAR)
  A)
  \[-4\] done clear
  B)
  \[-12\] done clear
  C)
  \[12\] done clear
  D)
  \[-6\] done clear
  View Solution play_arrow

• question_answer71)
  A Line intersects the Y-axis and X-axis at the points P and Q, respectively. If \[(2,-5)\] is the mid-point of PQ, then the coordinates of P and Q are, respectively: (NCERT EXEMPLAR)
  A)
  \[(0,-5)\] and \[(2,0)\] done clear
  B)
  \[(0,10)\] and \[(-4,0)\] done clear
  C)
  \[(0,4)\] and \[(-10,0)\] done clear
  D)
  \[(0,-10)\] and \[(4,0)\] done clear
  View Solution play_arrow

• question_answer72)
  The mid-point of the line segment joining the points \[A(-2,8)\] and \[B(-6,-4)\] is: (NCERT EXEMPLAR)
  A)
  \[(-4,-6)\] done clear
  B)
  \[(2,6)\] done clear
  C)
  \[(-4,2)\] done clear
  D)
  \[(4,2)\] done clear
  View Solution play_arrow

• question_answer73)
  If the point \[P(6,2)\] divides the line segment joining \[A(6,5)\]and \[B(4,y)\] in the ratio \[3:1,\] then the value of y is: (CBSE 2020)
  A)
  4 done clear
  B)
  3 done clear
  C)
  2 done clear
  D)
  1 done clear
  View Solution play_arrow

• question_answer74)
  The ratio in which the Line segment joining \[\left( 1,\text{ }-\text{ }5 \right)\] and \[(-4,5)\] is divided by the X-axis is: (ncert exercise)
  A)
  \[1:1\] done clear
  B)
  \[1:2\] done clear
  C)
  \[2:1\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer75)
  Supposed is a line segment and points P and Q are nearer to A and B on a line segment AB such that \[\text{AP}=\text{PQ}=\text{QB},\]then P divides the line segment in the ratio:
  A)
  \[1:2\] done clear
  B)
  \[2:1\] done clear
  C)
  \[3:1\] done clear
  D)
  \[1:3\] done clear
  View Solution play_arrow

• question_answer76)
  The point which lies on the perpendicular bisector of the line segment joining the points \[A(-2,-5)\] and \[B(2,5)\] is:
  A)
  \[(1,5)\] done clear
  B)
  \[(-1,5)\] done clear
  C)
  \[(0,0)\] done clear
  D)
  \[(0,5)\] done clear
  View Solution play_arrow

• question_answer77)
  The ratio in which the line segment joining the points \[(-3,10)\] and \[(6,-8)\] is divided by \[(-1,6)\] is:  (NCERT EXERCISE)
  A)
  \[2:7\] done clear
  B)
  \[7:2\] done clear
  C)
  \[2:5\] done clear
  D)
  \[5:2\] done clear
  View Solution play_arrow

• question_answer78)
  The mid-point of the Line segment AB is \[P(0,4)\]. If the coordinates of B are \[(-2,3)\] then the coordinates of A are: (CBSE 2020)
  A)
  \[(2,5)\] done clear
  B)
  \[(-2,-5)\] done clear
  C)
  \[(2,9)\] done clear
  D)
  \[(-2,11)\] done clear
  View Solution play_arrow

• question_answer79)
  If the centre of a circle is \[(3,5)\] and end points of a diameter are \[(4,7)\]and \[(2,y),\] then the value of y is:    (CBSE 2020)
  A)
  3 done clear
  B)
  \[-3\] done clear
  C)
  7 done clear
  D)
  4 done clear
  View Solution play_arrow

• question_answer80)
  X-axis divides the Line segment joining \[A(2,-3)\] and \[B(5,6)\]in the ratio:                            (CBSE 2020)
  A)
  \[2:3\] done clear
  B)
  \[3:5\] done clear
  C)
  \[1:2\] done clear
  D)
  \[2:1\] done clear
  View Solution play_arrow

• question_answer81)
  The coordinate of the point dividing the line segment joining the points \[A(1,3)\] and \[B(4,6)\] in the ratio \[2:1,\] is:
  A)
  \[(3,5)\] done clear
  B)
  \[(5,3)\] done clear
  C)
  \[(3,-5)\] done clear
  D)
  \[(2,5)\] done clear
  View Solution play_arrow

• question_answer82)
  The points A, B and C are collinear and \[\text{AB}=\text{BC}\]. If the coordinates of A,B and C are \[(3,a),\] \[(1,3)\] and \[(b,4)\]respectively, then the values of a and b are:                                                                         (CBSE 2013)
  A)
  \[2\ and-1\] done clear
  B)
  \[~1\ and-2\] done clear
  C)
  \[~1\ and\ 2\] done clear
  D)
  \[-~1\ and\ -2\] done clear
  View Solution play_arrow

• question_answer83)
    The coordinates of a point A, where AB is diameter of a circle whose centre is \[(2,-3)\] and B is the point \[(1,4)\] are: (CBSE 2019)
  A)
  \[(3,-10)\] done clear
  B)
  \[(-3,10)\] done clear
  C)
  \[(3,10)\] done clear
  D)
  \[(-3,-10)\] done clear
  View Solution play_arrow

• question_answer84)
  The coordinates of the point equidistant from the vertices \[O(0,0),\] \[A(6,0)\] and \[B(0,8)\] of \[\Delta AOB\] are:
  A)
  \[(2,3)\] done clear
  B)
  \[(3,4)\] done clear
  C)
  \[(-3,4)\] done clear
  D)
  \[(2,-3)\] done clear
  View Solution play_arrow

• question_answer85)
  The point P which divides the Line segment joining the points \[A(2,-5)\] and \[B(5,2)\] in the ratio \[2:3\] lies in the quadrant: (CBSE 2011)
  A)
  \[I\] done clear
  B)
  \[II\] done clear
  C)
  \[III\] done clear
  D)
  \[IV\] done clear
  View Solution play_arrow

• question_answer86)
  If \[\left( \frac{a}{2},4 \right)\] is the mid-point of the line segment joining the points \[A(-6,5)\] and \[B(-2,3),\] then the value of a is: (CBSE 2011)
  A)
  \[-8\] done clear
  B)
  \[3\] done clear
  C)
  \[-4\] done clear
  D)
  \[4\] done clear
  View Solution play_arrow

• question_answer87)

  In figure \[P(5,-3)\] and \[Q(3,y)\] are the points of Insertion of the line segment joining \[A(7,-2)\] and \[B(1,-5),\] then y equals: (CBSE 2012)

   
  A)
  \[2\] done clear
  B)
  \[4\] done clear
  C)
  \[-4\] done clear
  D)
  \[-\frac{5}{2}\] done clear
  View Solution play_arrow

• question_answer88)
  If A and B are the points \[(-3,4)\] and \[(2,1)\] respectively, then the coordinates of the point on AB produced such that \[\text{AC}=\text{2BC}\] we:
  A)
  \[(2,4)\] done clear
  B)
  \[(3,7)\] done clear
  C)
  \[(7,-2)\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer89)
  If  \[P(1,2),\] \[Q(4,6),\]\[R(5,7)\] and \[S(a,b)\] are the vertices of a parallelogram PQRS then:
  A)
  \[a=2,\,b=4\] done clear
  B)
  \[a=3,\,b=4\] done clear
  C)
  \[a=2,\,b=3\] done clear
  D)
  \[a=3,\,b=5\] done clear
  View Solution play_arrow

• question_answer90)
  Line formed by joining \[(-1,1)\] and \[(5,7)\] is divided by a Line \[\text{x}+\text{y}=\text{4}\]in the ratio of:
  A)
  \[1:2\] done clear
  B)
  \[1:3\] done clear
  C)
  \[3:4\] done clear
  D)
  \[1:4\] done clear
  View Solution play_arrow

• question_answer91)
  Three vertices of a parallelogram taken in order are \[(-1,-6),\] \[(2,-5)\] and \[(7,2)\]. The fourth vertex is:
  A)
  \[(1,4)\] done clear
  B)
  \[(1,1)\] done clear
  C)
  \[(4,4)\] done clear
  D)
  \[(4,1)\] done clear
  View Solution play_arrow

• question_answer92)
  The fourth vertex of a rectangle whose three vertices taken in order are \[(4,1),\] \[(7,4),\] \[(13,-2)\]is:
  A)
  \[(10,5)\] done clear
  B)
  \[(10,-5)\] done clear
  C)
  \[(8,3)\] done clear
  D)
  \[(8,-3)\] done clear
  View Solution play_arrow

• question_answer93)
  If the orthocentre and centroid of a triangle are \[(-3,5)\] and \[(3,3)\] respectively, then the circumcentre is:
  A)
  \[(6,2)\] done clear
  B)
  \[(0,8)\] done clear
  C)
  \[(6,-2)\] done clear
  D)
  \[(0,4)\] done clear
  View Solution play_arrow

• question_answer94)
  A straight line is drawn joining the points \[(3,4)\] and \[(5,6)\]. If the Line is extended, the ordinate of the point on the line, whose abscissa is \[-1\] is:
  A)
  \[-1\] done clear
  B)
  \[0\] done clear
  C)
  \[1\] done clear
  D)
  \[2\] done clear
  View Solution play_arrow

• question_answer95)
  If the origin is the mid-point of the line segment joined by the points \[(2,3)\] and \[(x,y),\] then the value of \[(x,y)\] is:
  A)
  \[(2,3)\] done clear
  B)
  \[(-2,3)\] done clear
  C)
  \[(-2,-3)\] done clear
  D)
  \[(2,-3)\] done clear
  View Solution play_arrow

• question_answer96)
  If four vertices of a parallelogram taken in order are \[(-3,-1),\] \[(a,b),\] \[(3,3)\] and \[(4,3)\]. then \[a:b=\]
  A)
  \[1:4\] done clear
  B)
  \[4:1\] done clear
  C)
  \[1:2\] done clear
  D)
  \[2:1\] done clear
  View Solution play_arrow

• question_answer97)
  Ratio in which the line \[\text{3x}+\text{4y}=\text{7}\] divides (he Line segment joining the points \[(1,2)\] and \[(-2,1)\] is:
  A)
  \[3:5\] done clear
  B)
  \[4:6\] done clear
  C)
  \[4:9\] done clear
  D)
  None of these done clear
  View Solution play_arrow

• question_answer98)
  The ratio in which the point \[(2,y)\] divides the join of \[(-4,3)\]and \[(6,3)\]hence the value of y is:
  A)
  \[2:3,\,y=3\] done clear
  B)
  \[3:2,\,y=4\] done clear
  C)
  \[3:2,\,y=3\] done clear
  D)
  \[3:2,\,y=2\] done clear
  View Solution play_arrow

• question_answer99)
  C is the mid-point of PQ, if P is \[(4,x),\] C is \[(y,-1)\] and Q is \[(-2,4),\] then x and y respectively are:
  A)
  \[-6\] and \[1\] done clear
  B)
  \[-6\] and \[2\] done clear
  C)
  \[6\]and \[-1\] done clear
  D)
  \[6\] and \[-2\] done clear
  View Solution play_arrow

• question_answer100)
  The point which divides the line joining the points \[A(1,2)\]and \[B(-1,1)\] internally in the ratio \[1:2\] is:
  A)
  \[\left( \frac{-1}{3},\frac{5}{3} \right)\] done clear
  B)
  \[\left( \frac{1}{3},\frac{5}{3} \right)\] done clear
  C)
  \[(-1,5)\] done clear
  D)
  \[(1,5)\] done clear
  View Solution play_arrow