9th Class Mathematics Coordinate Geometry Question Bank

done Co-ordinate Geometry Total Questions - 30

• question_answer1)
  In the adjoining Diagram, PQ = ?
  A)
   4 cm                            done clear
  B)
   2.5 cm  done clear
  C)
   2 cm                            done clear
  D)
   5 cm done clear
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• question_answer2)
  In the given figure, what is the length of AB?
  A)
   13 units   done clear
  B)
   9 units done clear
  C)
   12 units                        done clear
  D)
   18 units done clear
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• question_answer3)
  In the given figure below, Area of \[\Delta \mathbf{AOB}=\]
  A)
   4                                 done clear
  B)
   12 done clear
  C)
   6         done clear
  D)
   8 done clear
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• question_answer4)
  In the adjoining figure, what is the area of \[\Delta \mathbf{ABC}\]?
  A)
   24                                done clear
  B)
   12 done clear
  C)
   30    done clear
  D)
   3 done clear
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• question_answer5)
  In the given figure Area of \[\Delta \mathbf{ABC}\]
  A)
   3 unit                         done clear
  B)
   \[4\frac{1}{2}\]unit done clear
  C)
   \[1\frac{1}{2}\] unit        done clear
  D)
   1 unit done clear
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• question_answer6)
  If (2, 2p + 2) is the mid-point of (3p, 4) and (-2, 2q), then the value of p and q are
  A)
   2, 4        done clear
  B)
   3, 6            done clear
  C)
   7, 9                              done clear
  D)
   8, 10 done clear
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• question_answer7)
  The area of a triangle with vertices \[\mathbf{A}\left( \mathbf{0},\mathbf{6} \right),O\left( \mathbf{0},\mathbf{0} \right)\]and \[\mathbf{B}\left( \mathbf{7},\mathbf{0} \right)\]is:
  A)
   8 sq. units                  done clear
  B)
   13 sq. units done clear
  C)
   21 sq. units      done clear
  D)
   40 sq. units done clear
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• question_answer8)
  Let the vertices of a triangle ABC be\[\left( \mathbf{7},\mathbf{9} \right),\left( \mathbf{3},-\mathbf{7} \right)\], and (-3,3) then the triangle is
  A)
   Right angled                  done clear
  B)
   Equilateral done clear
  C)
   Isosceles                       done clear
  D)
   Both  and done clear
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• question_answer9)
  In the given figure, \[\mathbf{P}\left( \mathbf{4},\mathbf{2} \right)\] and \[\mathbf{R}\left( -\mathbf{2},\mathbf{0} \right)\]are vertices of a. rhombus PQRS. What is the equation of diagonal QS?
  A)
   \[x-3y=-2\]                   done clear
  B)
   \[3x+y=4\] done clear
  C)
   \[3x+y=-4\]                  done clear
  D)
   \[x-3y\text{=}2\] done clear
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• question_answer10)
  What is the perimeter of the triangle PQR shown alongside
  A)
   11.7                 done clear
  B)
   12.7 done clear
  C)
   14.7                             done clear
  D)
   13.7 done clear
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• question_answer11)
  What is the midpoint of AB
  A)
   \[\left( -3,\,1 \right)\]                   done clear
  B)
   \[\left( -1,2 \right)~~~~~\] done clear
  C)
   \[\left( 2,-1 \right)\]                     done clear
  D)
   \[\left( -1,3 \right)\] done clear
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• question_answer12)
  If ABCD is a parallelgram and diagonal (AC) and (BD) bisect each other at x. The co-ordinates of x is
  A)
   \[3\frac{1}{2},1\frac{1}{2}\]                 done clear
  B)
   2, 1            done clear
  C)
   (1, 2)                            done clear
  D)
   \[4\frac{1}{2},3\frac{1}{2}\] done clear
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• question_answer13)
  In a triangle ABC, M is the midpoint of (AB). The coordinate of N, The midpoint of (CM) is
  A)
   (6, 4)                            done clear
  B)
   (4, 6)            done clear
  C)
   (6, 7)     done clear
  D)
   (7, 6) done clear
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• question_answer14)
  For the triangle ABC shown alongside; the gradient of BC is
  A)
   2                     done clear
  B)
   -1              done clear
  C)
   -2         done clear
  D)
   1 done clear
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• question_answer15)
  The graph shows the wages paid to sales assistants in a departmental store. What is the wage working for 18 hours.
  A)
   270   done clear
  B)
   260              done clear
  C)
   275                              done clear
  D)
   265 done clear
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• question_answer16)
  Points
  A)
   Lie in the second quadrant           done clear
  B)
   Lie in the fourth quadrant done clear
  C)
   Lie in the third quadrant             done clear
  D)
   Do not lie in the same quadrant done clear
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• question_answer17)
  The co-ordinates of a point are\[\left( \mathbf{x},\mathbf{y} \right)\]. If the point lies in the 4th quadrant then:
  A)
   \[x>0,y>0\]                  done clear
  B)
   \[x<0,y>0\]       done clear
  C)
   \[x<0,y<0\]                  done clear
  D)
   \[x>0,y<0\] done clear
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• question_answer18)
  If perpendicular distance of a point P from the y-axis be 4 units along the positive direction of the x-axis then the point P has
  A)
   x-co-ordinates\[=-\,4\]                done clear
  B)
   y-co-ordinate\[=-\,4\] done clear
  C)
   y-co-ordinate\[=-\,4\] done clear
  D)
   x-co-ordinate\[=\,4\] done clear
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• question_answer19)
  The three vertices of parallelogram taken in order are \[\left( -\mathbf{2},\mathbf{0} \right)\left( \mathbf{6},\mathbf{2} \right)\] and \[(\mathbf{4},\mathbf{2})\] respectively. Find the co-ordinates of the fourth vertex,
  A)
   \[\left( 4,\text{ }3 \right)\]                        done clear
  B)
   \[(-\,3,4)\]           done clear
  C)
   \[(3,\,-4)\]                      done clear
  D)
   \[\left( 4,\text{ }3 \right)\] done clear
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• question_answer20)
  In the given fig-lire, what is the length of the median through vertex C. \[\mathbf{A}\left( \mathbf{1}\mathbf{.1} \right)\mathbf{,}\,\,\mathbf{B}(\mathbf{13},-~\mathbf{5})\] and \[\mathbf{C}\,\mathbf{(5,}-\mathbf{8)}\]
  A)
   \[2\sqrt{3}\]                              done clear
  B)
   \[3\sqrt{2}\]            done clear
  C)
   \[5\sqrt{2}\]                              done clear
  D)
   \[2\sqrt{5}\] done clear
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• question_answer21)
  The area of the triangle formed by \[(\mathbf{a},b+\mathbf{c}),(\mathbf{b},\mathbf{c}+\mathbf{a})\] and \[\left( \mathbf{c},\mathbf{a}+\mathbf{b} \right)\] is
  A)
   \[a+b+c\]                     done clear
  B)
   abc              done clear
  C)
   \[{{\left( a+b+c \right)}^{2}}\]             done clear
  D)
   0 done clear
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• question_answer22)
  In the given figure the area of square ABCD is,
  A)
   12 sq. units                   done clear
  B)
   8 sq. units         done clear
  C)
   6 sq. units                     done clear
  D)
   4 sq. units done clear
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• question_answer23)
  A point is at a distance of 4 units from the x-axis and 7 units from the y axis. Which of the following may be the co-ordinates of the point?
  A)
   \[\left( 7,\,\,4 \right)\]                  done clear
  B)
   \[\left( -7,\text{ }4 \right)\]          done clear
  C)
   \[\left( -7,\,-4 \right)\]                  done clear
  D)
   All of these done clear
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• question_answer24)
  Find the fourth vertex of the rhombus formed by \[\left( -\mathbf{1},-\mathbf{1} \right),\left( \mathbf{6},\mathbf{1} \right)\] and (8, 8).
  A)
   (3, 4)                            done clear
  B)
   (2, 5)            done clear
  C)
   (2, 3)                            done clear
  D)
   (1, 6) done clear
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• question_answer25)
  What is the area of the triangle formed by the mid-points of the sides of\[\Delta \mathbf{ABC}\]. With coordinate A (3, 2), B(-5, 6) and C (8,3).                                         
  A)
   7 sq. units                     done clear
  B)
   14 sq. units        done clear
  C)
   2.5 sq. units                  done clear
  D)
   5 sq. units    done clear
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• question_answer26)
  What is the centroid of \[\Delta \mathbf{ABC}\] whose vertices, are \[\mathbf{A}\left( \mathbf{2},-\mathbf{4} \right),\] \[\mathbf{B}\left( -\mathbf{4},-\mathbf{2} \right)\] and \[\mathbf{C}\left( -1,\text{ }\mathbf{3} \right).\]
  A)
   \[\left( -1,-1 \right)\]        done clear
  B)
   \[\left( -2,-2 \right)\]          done clear
  C)
   \[\left( 3,\text{ }4 \right)\]            done clear
  D)
   \[\left( 4,\text{ }4 \right)\] done clear
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• question_answer27)
  If the distance between the points A(5, a) and B(2, 0) is 5, then a is
  A)
   \[\pm \,4\]     done clear
  B)
   \[4\]              done clear
  C)
   \[-\,4\]                          done clear
  D)
   0 done clear
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• question_answer28)
  If the points (2K, 3K), (K, 2K) and (1, 2) are collinear, then K
  A)
   \[-1\]                            done clear
  B)
   1 done clear
  C)
   \[\frac{1}{2}\]                          done clear
  D)
   \[\frac{1}{3}\] done clear
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• question_answer29)
  In a given figure line segment is of length 10 units. If the co-ordinates of its one end; are (2, -3) and the ordinate of the other end is 10, then its abscissa is
  A)
   \[9,\text{ }6\]                            done clear
  B)
   \[3,\,-9\]        done clear
  C)
   \[-3,\text{ }9\]               done clear
  D)
   \[9,-\,6\] done clear
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• question_answer30)
  The distance between the points \[\left( \mathbf{x},\mathbf{0} \right)\] and \[\left( \mathbf{0},\mathbf{y} \right)\] is
  A)
   \[{{x}^{2}}+{{y}^{2}}\]                  done clear
  B)
   \[x+y\]            done clear
  C)
   \[{{x}^{2}}-{{y}^{2}}\]                    done clear
  D)
   \[\sqrt{{{x}^{2}}+{{y}^{2}}}\] done clear
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