SSC Quantitative Aptitude Coordinate Geometry Question Bank

done Coordinate Geometry and Graphs of Linear Equations (I) Total Questions - 18

• question_answer1)
  Area of the triangle formed by the graph of the straight lines \[x-y=0,\]\[x+y=2\]and the X-axis is [SSC CGL Tier II, 2014]
  A)
  1 sq unit done clear
  B)
  2 sq units done clear
  C)
  4 sq units done clear
  D)
  None of these done clear
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• question_answer2)
  The area of the region bounded by \[y=\left| x \right|-5\] with the coordinate axes is [SSC CGL Tier II, 2012]
  A)
  25 sq units done clear
  B)
  52 sq units done clear
  C)
  50 sq units done clear
  D)
  20 sq units done clear
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• question_answer3)
  The vertices of a triangle are\[A\,(4,4),\]\[B\,(3,-2)\]and\[C\,(-\,3,16).\]The area of the triangle is
  A)
  36 sq units done clear
  B)
  37 sq units done clear
  C)
  38 sq units done clear
  D)
  None of these done clear
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• question_answer4)
  The vertices of a triangle are\[A\,(3,8),\]\[B\,(-\,4,2)\]and \[C\,(5,-1).\]The area of \[\Delta ABC\]is
  A)
  \[28\frac{1}{2}\]sq units done clear
  B)
  \[37\frac{1}{2}\]sq units done clear
  C)
  57 sq units done clear
  D)
  75 sq units done clear
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• question_answer5)
  The distance between the points \[A\,(2,-\,3)\]and \[B\,(2,2)\]is
  A)
  2 units done clear
  B)
  3 units done clear
  C)
  4 units done clear
  D)
  5 units done clear
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• question_answer6)
  The equation of a line passing through the points \[A\,(-1,1)\]and \[B\,(2,-\,4)\]is
  A)
  \[3x+5y+2=0\] done clear
  B)
  \[5x+3y+2=0\] done clear
  C)
  \[2x+3y+5=0\] done clear
  D)
  None of the above done clear
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• question_answer7)
  Which of the following points does not lie on the line\[y=3x+4\]?
  A)
  \[(1,7)\] done clear
  B)
  \[(2,10)\] done clear
  C)
  \[(-\,1,1)\] done clear
  D)
  \[(4,12)\] done clear
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• question_answer8)
  If the points\[(1,1),\,(-1,-1),\]\[(-\,\sqrt{3},\sqrt{3})\]are the vertices of a triangle, then this triangle is
  A)
  right angled done clear
  B)
  isosceles done clear
  C)
  equilateral done clear
  D)
  None of the above done clear
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• question_answer9)
  If the points \[A\,(1,-1),\]\[B\,(5,2)\] and \[C\,(k,5)\]are collinear, then k is equal to
  A)
  2 done clear
  B)
  4 done clear
  C)
  6 done clear
  D)
  9 done clear
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• question_answer10)
  The equation of a line of unit slope and passing through the origin, is
  A)
  \[y=x\] done clear
  B)
  \[x+y=0\] done clear
  C)
  \[x=y+1\] done clear
  D)
  \[x=\frac{1}{2}y+1\] done clear
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• question_answer11)
  The ratio in which the line 3x + y = 9 divides the line made by joining the points (1, 3) and (2, 7), is
  A)
  3 : 4 external done clear
  B)
  3 : 4 internal done clear
  C)
  1 : 4 internal done clear
  D)
  4 : 3 internal done clear
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• question_answer12)
  The area of a triangle whose vertices are \[(2,-\,2),\]\[(-\,8,12)\]and \[(-\,6,-10),\]is
  A)
  18 sq units done clear
  B)
  24 sq units done clear
  C)
  48 sq units done clear
  D)
  96 sq units done clear
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• question_answer13)
  A point C divides the join of P (1, 3) and Q (2, 7) in the ratio 3 : 4. The coordinates of C are
  A)
  \[(-2,-9)\] done clear
  B)
  \[\left( \frac{10}{7},\frac{33}{7} \right)\] done clear
  C)
  \[\left( \frac{3}{2},5 \right)\] done clear
  D)
  \[\left( \frac{5}{3},5 \right)\] done clear
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• question_answer14)
  Area of the triangle formed by the graph of the line \[2x-3y+6=0\]along with the coordinate axes is
  A)
  1/2 sq unit done clear
  B)
  2/3 sq unit done clear
  C)
  3 sq units done clear
  D)
  6 sq units done clear
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• question_answer15)
  The slope of a line passing through the points A\[(3,-1)\] and B\[(3,2)\] is
  A)
  0 done clear
  B)
  3 done clear
  C)
  not defined done clear
  D)
  None of these done clear
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• question_answer16)
    The value of k for which the lines \[x+2y-9=0\]and \[k\text{ }x+4y+5=0\]are parallel, is
  A)
  \[k=2\] done clear
  B)
  \[k=1\] done clear
  C)
  \[k=-1\] done clear
  D)
  \[k=-2\] done clear
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• question_answer17)
  The graph of \[x+2y=3\]and \[3x-2y=1\]meet the Y-axis at two points having distance
  A)
  \[\frac{8}{3}\] units done clear
  B)
  \[\frac{4}{3}\]units done clear
  C)
  1 unit done clear
  D)
  2 units done clear
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• question_answer18)
  The value of k for which the graph of \[(k-1)\,x+1y-2=0\]and \[(2-k)x-3y+1=0\] are parallel is
  A)
  \[\frac{1}{2}\] done clear
  B)
  \[-\frac{1}{2}\] done clear
  C)
   2 done clear
  D)
  \[-\,2\] done clear
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