9th Class Mathematics Coordinate Geometry Question Bank

done Co-ordinate Geometry Total Questions - 46

• question_answer1)
  What is the intersection of \[X\] and \[Y\] axes called?
  A)
   Origin                           done clear
  B)
   Null point                      done clear
  C)
   Common point done clear
  D)
          Ordinate           done clear
  View Solution play_arrow

• question_answer2)
  What is the distance of the point \[(2,\,\,3)\] from the \[X-\]axis?
  A)
   \[2\] units          done clear
  B)
          \[5\] units          done clear
  C)
          \[3\] units          done clear
  D)
          \[6\] units                      done clear
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• question_answer3)
  What is the distance of the point \[(3,\,\,2)\] from the \[Y-\]axis?
  A)
   \[2\] units          done clear
  B)
          \[3\] units          done clear
  C)
   \[5\] units         done clear
  D)
          \[6\] units done clear
  View Solution play_arrow

• question_answer4)
  Where does the point \[(-2,\,\,0)\] lie?
  A)
   On positive X-axis done clear
  B)
          On positive Y-axis          done clear
  C)
   On negative X-axis done clear
  D)
          On negative Y-axis         done clear
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• question_answer5)
  Where does the point \[(0,\,\,-2)\]lie?
  A)
   On positive X-axis          done clear
  B)
   On positive Y-axis          done clear
  C)
   On negative X-axis         done clear
  D)
   On negative Y-axis done clear
  View Solution play_arrow

• question_answer6)
  Where does the point \[(3,\,\,0)\] lie?
  A)
   On positive X-axis          done clear
  B)
   On positive Y-axis          done clear
  C)
   On negative X-axis         done clear
  D)
   On negative Y-axis                     done clear
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• question_answer7)
  The points \[P(3,\,\,p)\] and \[Q(q,\,\,5)\] represent the same point\[R\]. What are the respective values of\[p\]and\[q\]?
  A)
   \[5\] and \[3\]                            done clear
  B)
   \[-5\] and\[3\]    done clear
  C)
   \[3\] and \[5\]       done clear
  D)
          \[3\]and \[-5\]    done clear
  View Solution play_arrow

• question_answer8)
  What is the distance of a point \[(0,\,\,-3)\] from the origin?
  A)
   \[0\] units                      done clear
  B)
   \[-3\] units         done clear
  C)
          cannot be determined     done clear
  D)
   \[3\] units done clear
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• question_answer9)
  Direction: Observe the given coordinate plane and answer the following questions. What are the coordinates of point\[C\]?
  A)
  \[(0,\,\,0)\]                      done clear
  B)
  \[(-1,\,\,5)\]         done clear
  C)
         \[(2,\,\,-3)\]         done clear
  D)
         \[(4,\,\,2)\]          done clear
  View Solution play_arrow

• question_answer10)
  Direction: Observe the given coordinate plane and answer the following questions. What are the coordinates of point\[E\]?
  A)
  \[(0,\,\,-2)\]         done clear
  B)
         \[(1,\,\,-2)\]         done clear
  C)
         \[(-2,\,\,1)\]         done clear
  D)
         \[(-2,\,\,0)\]         done clear
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• question_answer11)
  Direction: Observe the given coordinate plane and answer the following questions. What are the coordinates of point\[D\]?
  A)
  \[(-4,\,\,-1)\]                    done clear
  B)
  \[(4,\,\,2)\]          done clear
  C)
  \[(0,\,\,4)\]                      done clear
  D)
         \[(-1,\,\,5)\]                     done clear
  View Solution play_arrow

• question_answer12)
  Direction: Observe the given coordinate plane and answer the following questions. What is the y-coordinate of point\[F\]?
  A)
  \[-3\]                 done clear
  B)
  \[0\]                  done clear
  C)
  \[4\]                  done clear
  D)
         \[-2\]     done clear
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• question_answer13)
  The points \[A(-a,\,\,-a),\] \[B(a,\,\,-a),\] \[C(-a,\,\,a)\]\[D(-a,\,\,a)\] form a polygon. Where does the origin lie?
  A)
   On the vertex of the polygon. done clear
  B)
   On the side of the polygon. done clear
  C)
   Outside the polygon. done clear
  D)
   At the point where the diagonals of the polygon meet. done clear
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• question_answer14)
  Direction: Observe the given coordinate plane and answer the following questions. In which quadrant is the point\[(3,\,\,3)\]?
  A)
  \[{{Q}_{1}}\]                            done clear
  B)
  \[{{Q}_{2}}\]                done clear
  C)
  \[{{Q}_{3}}\]                done clear
  D)
         \[{{Q}_{4}}\]    done clear
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• question_answer15)
  Direction: Observe the given coordinate plane and answer the following questions. Which point is represented by the ordered pair\[(-3,\,\,-1)\]?
  A)
  \[P\]                              done clear
  B)
  \[Q\]                  done clear
  C)
  \[R\]                  done clear
  D)
         \[S\]      done clear
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• question_answer16)
  Direction: Observe the given coordinate plane and answer the following questions. What are the coordinates of the point\[Q\]?
  A)
  \[(-2,\,\,2)\]                     done clear
  B)
  \[(2,\,\,-2)\]         done clear
  C)
  \[(3,\,\,3)\]                      done clear
  D)
         \[(-3,\,\,-1)\] done clear
  View Solution play_arrow

• question_answer17)
  What are the coordinates of origin?
  A)
  \[(0,\,\,1)\]                                  done clear
  B)
  \[(1,\,\,0)\]          done clear
  C)
  \[(0,\,\,0)\]                      done clear
  D)
         \[(1,\,\,1)\]                                  done clear
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• question_answer18)
  Which of the following quadrants has/have points with a positive abscissa?
  A)
   I and II quadrants          done clear
  B)
   I and IV quadrants         done clear
  C)
   I quadrant only  done clear
  D)
   IV quadrant only                       done clear
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• question_answer19)
  Identify the co-ordinates of the point which lies on \[y\text{-}\]axis at a distance of \[4\] units in negative direction of \[y\text{-}\]axis.
  A)
  \[(0,\,\,4)\]          done clear
  B)
         \[(4,\,\,0)\]          done clear
  C)
  \[(0,\,\,-4)\]         done clear
  D)
         \[(-4,\,\,0)\]                     done clear
  View Solution play_arrow

• question_answer20)
  In which of the following quadrants ordinate of a point negative?
  A)
   III and IV quadrants       done clear
  B)
   III quadrant only            done clear
  C)
   II and III quadrants done clear
  D)
          IV quadrant only done clear
  View Solution play_arrow

• question_answer21)
  The points \[(-5,\,\,2)\] and \[(2,\,\,-5)\] lie in which of the following?
  A)
   The same quadrants. done clear
  B)
   II and III quadrants respectively. done clear
  C)
   II and IV quadrants respectively. done clear
  D)
   IV and III quadrants respectively. done clear
  View Solution play_arrow

• question_answer22)
  Which of the following points lie on the \[y\text{-}\]axis?     
  A)
  \[(0,\,\,4)\]                      done clear
  B)
  \[(-2,\,\,0)\]         done clear
  C)
  \[(3,\,\,0)\]                      done clear
  D)
         \[(-1,\,\,-1)\] done clear
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• question_answer23)
  Identify the ordered pairs that result in a quadrilateral.
  A)
   \[(1,\,\,-1),\,\,(2,\,\,-2),\,\,(4,\,\,-4),\,\,(6,\,\,-6)\] done clear
  B)
   \[(1,\,\,0),\,\,(-3,\,\,0),\,\,(6,\,\,0),\,\,(-8,\,\,0)\] done clear
  C)
   \[(3,\,\,2),\,\,(2,\,\,3),\,\,(-4,\,\,5),\,\,(5,\,\,-3)\] done clear
  D)
   \[(0,\,\,-5),\,\,(0,\,\,0),\,\,(0,\,\,3),\,\,(0,\,\,5)\] done clear
  View Solution play_arrow

• question_answer24)
  The perpendicular distance of a point from the \[x\text{-}\]axis is \[2\] units and its perpendicular distance from the \[y\text{-}\]axis is \[3\] units. Find the co-ordinates of the point if it lies in the III Quadrant.
  A)
  \[(-3,\,\,-2)\] done clear
  B)
  \[(-2,\,\,-3)\]      done clear
  C)
  \[(3,\,\,-2)\]         done clear
  D)
         \[(-3,\,\,2)\]                     done clear
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• question_answer25)
  The perpendicular distance of a point from the \[x\text{-}\]axis is \[4\] units and its perpendicular distance from the \[y\text{-}\]axis is 5 units. What are the co-ordinates of such a point if it lies in the II Quadrant?
  A)
  \[(-4,\,\,5)\]                     done clear
  B)
  \[(-2,\,\,-3)\]        done clear
  C)
         \[(3,\,\,-2)\]         done clear
  D)
         \[(-3,\,\,2)\] done clear
  View Solution play_arrow

• question_answer26)
  Which of the following points lie on \[x\text{-}\]axis?
  A)
   \[C,\,\,E\]and\[F\]                       done clear
  B)
   \[D,\,\,E\]and\[B\]          done clear
  C)
          \[C,\,\,H\]and\[F\]          done clear
  D)
          \[C,\,\,H\]and\[B\] done clear
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• question_answer27)
  Study the given graph. What are the co-ordinates of \[A,\,\,B,\,\,C\] and\[D\]?
  A)
  \[A(5,\,\,3),\,B(0,\,\,5),\,\,C(-2,\,\,4),\,\,D(0,\,\,2)\] done clear
  B)
  \[A(0,\,\,5),\,\,B(3,\,\,5),\,\,C(4,\,\,-2),\,\,D(0,\,\,-2)\] done clear
  C)
  \[A(5,\,\,0),\,\,B(5,\,\,3),\,\,C(-2,\,\,4),\,\,D(-2,\,\,0)\] done clear
  D)
  \[A(5,\,\,0),\,\,B(5,\,\,3),\,\,C(-2,\,\,4),\,\,D(0,\,\,-2)\] done clear
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• question_answer28)
  In the given graph, \[\Delta ABC\] and \[\Delta ABD\] are equilateral triangles. Find the respective coordinates of points \[C\] and\[D\].
  A)
  \[\left( 0,\,\,a\sqrt{3} \right)\left( 0,\,\,a\sqrt{3} \right)\]        done clear
  B)
  \[\left( 0,\,\,-a\sqrt{3} \right)\left( 0,\,\,a\sqrt{3} \right)\]       done clear
  C)
  \[\left( 0,\,\,a\sqrt{3} \right)\left( 0,\,\,-a\sqrt{3} \right)\]       done clear
  D)
  \[\left( a\sqrt{3},\,\,0 \right)\left( -a\sqrt{3},\,\,0 \right)\]       done clear
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• question_answer29)
  Plot the points \[P(1,\,\,),\,\,Q(4,\,\,0)\] and\[S(1,\,\,3)\]. Find the coordinates of the point \[R\] such that \[PQRS\] is a square.
  A)
  \[(3,\,\,4)\]                      done clear
  B)
  \[(4,\,\,3)\]          done clear
  C)
  \[(3,\,\,-4)\]         done clear
  D)
         \[(-3,\,\,4)\]         done clear
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• question_answer30)
  What is the number of quadrants of a cartesian plane?
  A)
   \[1\]                 done clear
  B)
          \[2\]                 done clear
  C)
   \[3\]                 done clear
  D)
          \[4\]     done clear
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• question_answer31)
  Points \[A(-a,\,\,-a),\,\,B(a,\,\,-a),\,\,C(a,\,\,a)\] and \[D(x,\,\,y)\] form a square. In which of the following quadrants does the point \[D\] lie?               
  A)
   II                     done clear
  B)
          III                    done clear
  C)
   I                      done clear
  D)
          IV                                done clear
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• question_answer32)
  What is the ordinate of a point on the \[y\text{-}\]axis?
  A)
   A positive number          done clear
  B)
   A negative number                     done clear
  C)
   \[0\]                 done clear
  D)
          All the above                 done clear
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• question_answer33)
  Which of the following are the signs of the coordinates of a point in the II quadrant?
  A)
  \[(+,\,\,+)\]                    done clear
  B)
  \[(-,\,\,+)\]         done clear
  C)
         \[(-,\,\,-)\]                       done clear
  D)
         \[(+,\,\,-)\]                     done clear
  View Solution play_arrow

• question_answer34)
  What are the signs of the coordinates of a point in the III quadrant?
  A)
  \[(+,\,\,+)\]                    done clear
  B)
  \[(-,\,\,+)\]         done clear
  C)
         \[(+,\,\,-)\]                     done clear
  D)
         \[(-,\,\,-)\]           done clear
  View Solution play_arrow

• question_answer35)
  Study the given graph. Identify the coordinates of the point\[M\].
  A)
  \[\left( -\frac{13}{6},\,\,\frac{1}{2} \right)\]                       done clear
  B)
  \[\left( -3,\,\,\frac{3}{2} \right)\]   done clear
  C)
  \[\left( -\frac{13}{3},\,\,\frac{1}{2} \right)\]           done clear
  D)
         \[\left( -\frac{3}{2},\,\,3 \right)\] done clear
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• question_answer36)
  Which of the following statements is true?
  A)
   Ordinate is positive to the right of the origin. done clear
  B)
   Ordinate is negative to the left of the origin. done clear
  C)
   Ordinate is negative below \[x\text{-}\]axis. done clear
  D)
   Ordinate is negative above \[x\text{-}\]axis. done clear
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• question_answer37)
  Identify the correct statement.
  A)
   Ordinate is negative to the right of the origin. done clear
  B)
   Abscissa is negative to the left of the origin. done clear
  C)
   Ordinate is positive below \[x\text{-}\]axis. done clear
  D)
   Abscissa is negative above \[x\text{-}\]axis. done clear
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• question_answer38)
  Which of the following is true about the ordinate?
  A)
   It is positive above x-axis. done clear
  B)
   It is positive above y-axis. done clear
  C)
   It is positive to the right of the origin. done clear
  D)
   It is negative to the left of the origin. done clear
  View Solution play_arrow

• question_answer39)
  Which figure is formed by joining points \[O(0,\,\,0),\]\[B(16,\,\,0)\] and\[C(16,\,\,12)\] on a graph paper?
  A)
   A triangle                      done clear
  B)
   A square           done clear
  C)
   A right angled triangle     done clear
  D)
   A line               done clear
  View Solution play_arrow

• question_answer40)
  Which quadrilateral is formed by joining the points \[(1,\,\,1),\,\,(2,\,\,4),\,\,(8,\,\,4)\] and\[(10,\,\,1)\]?
  A)
   A triangle                      done clear
  B)
   A square           done clear
  C)
          A rectangle        done clear
  D)
          A trapezium                  done clear
  View Solution play_arrow

• question_answer41)
  Which of the following represents the point\[(2,\,\,-5)\]?
  A)
   Moving \[2\] units towards right and \[5\] units upwards. done clear
  B)
   Moving 2 units towards left and \[5\] units upwards. done clear
  C)
   Moving \[2\] units towards right and \[5\] units downwards. done clear
  D)
   Moving \[2\] units towards left and \[5\] units downwards. done clear
  View Solution play_arrow

• question_answer42)
  Which of the following graph represents the point?
  A)
                       done clear
  B)
  done clear
  C)
                     done clear
  D)
         done clear
  View Solution play_arrow

• question_answer43)
  Reshma moves \[5\] units right and then \[3\] units downwards. She then moves \[4\] units to the left, finally stops at a point represented by \[(-2,\,\,-2)\] on the cartesian plane. What was her starting point on the plane?
  A)
  \[(-3,\,\,1)\] done clear
  B)
  \[(0,\,\,0)\]          done clear
  C)
         \[(2,\,\,-1)\]         done clear
  D)
         \[(-5,\,\,-3)\]                    done clear
  View Solution play_arrow

• question_answer44)
  What is the abscissa of any point on the \[X\text{-}\]axis?
  A)
   \[0\]                             done clear
  B)
   \[1\]                 done clear
  C)
   \[-1\]                done clear
  D)
          An integer         done clear
  View Solution play_arrow

• question_answer45)
  What is the ordinate of any point on the \[X\text{-}\]axis?
  A)
   \[0\]                             done clear
  B)
   \[1\]                 done clear
  C)
   \[2\]                 done clear
  D)
          \[-1\]                done clear
  View Solution play_arrow

• question_answer46)
  The perpendicular distance of a point from the x-axis is 4 units and its perpendicular distance from the y-axis is 5 units. What are the co-ordinates of such a point if it lies in the II Quadrant?
  A)
  \[(-4,\,\,5)\]                                 done clear
  B)
   \[(-5,\,\,4)\]        done clear
  C)
         \[(-4,\,\,-5)\]         done clear
  D)
         \[(5,\,\,-4)\] done clear
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