Question types

Coordinate Geometry question types

50 questions across 7 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

50
Questions
7
Question groups
5
Question types
Sample Questions

Coordinate Geometry questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
Write the correct answer in the following: If $P(5, 1), Q(8, 0), R(0, 4), S(0, 5)$ and $O(0, 0)$ are plotted on the graph paper, then the point(s) on the $x$-axis are:
  • A
    $P$ and $R$
  • B
    $R$ and $S$
  • C
    Only $Q$
  • $Q$ and $O$

Answer: D.

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Q 2M.C.Q1 Mark
Write the correct answer in the following: Point $(0, -7)$ lies:
  • A
    On the $x$-axis.
  • B
    In the second quadrant.
  • C
    On the $y$-axis.
  • In the fourth quadrant.

Answer: D.

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Q 3M.C.Q1 Mark
Write the correct answer in the following: The points $(-5, 2)$ and $(2, -5)$ lie in the:
  • A
    Same quadrant.
  • B
    $II$ and $III$ quadrants, respectively.
  • $II$ and $IV$ quadrants, respectively.
  • D
    $IV$ and $II$ quadrants, respectively.

Answer: C.

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Q 4M.C.Q1 Mark
Write the correct answer in the following: Which of the points $P(0, 3), Q(1, 0), R(0, -1), S(-5, 0), T(1, 2)$ do not lie on the $x$-axis?
  • A
    $P$ and $R$ only.
  • B
    $Q$ and $S$ only.
  • $P, R$ and $T$.
  • D
    $Q, S$ and $T$.

Answer: C.

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Q 5M.C.Q1 Mark
Write the correct answer in the following: If y coordinate of a point is zero, then this point always lies:
  • A
    In I quadrant.
  • B
    In II quadrant
  • On x-axis.
  • D
    On y-axis.

Answer: C.

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Write whether the following statements are True or False$?$ Justify your answer. A point lies on $y-$axis at a distance of $2$ units from the $x-$axis. Its coordinates are $(2, 0).$
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Write whether the following statements are True or False$?$ Justify your answer. The coordinates of a point whose ordinate is $-\frac{1}{2}$ and and abscissa is 1 are $-\frac{1}{2},\ 1$
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$LM$ is a line parallel to the $y-$axis at a distance of $3$ units:

$i.$ What are the coordinates of the points $P, R$ and $Q?$
$ii.$ What is the difference between the abscissa of the points $L$ and $M?$
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Q 213 Marks Question3 Marks
Find the coordinates of the point:
$i.$ Which lies on $x$ and $y$ axes both.
$ii.$ Whose ordinate is $-4$ and which lies on $y-$axis.
$iii.$ whose abscissa is $5$ and which lies on $x-$axis.
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Plot the points $A(1, -1)$ and $B(4, 5):$
$i.$ Draw a line segment joining these points. Write the coordinates of a point on this line segment between the points $A$ and $B.$
$ii.$ Extend this line segment and write the coordinates of a point on this line which lies outside the line segment $AB.$
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Points $A(5, 3), B(-2, 3)$ and $D(5, -4)$ are three vertices of a square $ABCD.$ Plot these points on a graph paper and hence find the coordinates of the vertex $C.$
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