Sample QuestionsCoordinate Geometry questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
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.
View full solution →Write the correct answer in the following: Point $(0, -7)$ lies:
- A
On the $x$-axis.
- B
- C
On the $y$-axis.
- ✓
Answer: D.
View full solution →Write the correct answer in the following: The points $(-5, 2)$ and $(2, -5)$ lie in the:
- A
- B
$II$ and $III$ quadrants, respectively.
- ✓
$II$ and $IV$ quadrants, respectively.
- D
$IV$ and $II$ quadrants, respectively.
Answer: C.
View full solution →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.
View full solution →Write the correct answer in the following: If y coordinate of a point is zero, then this point always lies:
Answer: C.
View full solution →Write whether the following statements are True or False? Justify your answer. $(-1, 7)$ is a point in the II quadrant.
View full solution →Write whether the following statements are True or False$?$ Justify your answer. Point $(3, 0)$ lies in the first quadrant.
View full solution →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 $(2, 0).$
View full solution →Write whether the following statements are True or False$?$ Justify your answer. Points $(1, -1)$ and $(-1, 1)$ lie in the same quadrant.
View full solution →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 $-\frac{1}{2},\ 1$
View full solution →Without plotting the points indicate the quadrant in which they will lie, if: Ordinate is $5$ and abscissa is $3$.
View full solution →Without plotting the points indicate the quadrant in which they will lie, if:
Ordinate is $5$ and abscissa is $-3$
View full solution →Without plotting the points indicate the quadrant in which they will lie, if:
Abscissa is $-5$ and ordinate is $-3$
View full solution →Which of the following points lie on y-axis? $A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), S(0, 5), H(7, 0), I(3, 3).$
View full solution →$LM$ 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 $M?$ View full solution →Plot the points$ (x, y)$ given by the following table:
|
$x$
|
$2$
|
$4$
|
$-3$
|
$-2$
|
$3$
|
$0$
|
|
$y$
|
$4$
|
$2$
|
$0$
|
$5$
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$-3$
|
$0$
|
View full solution →Write the coordinates of each of the points $P, Q, R, S, T$ and $O$ from the:

View full solution →Plot the following points and write the name of the figure obtained by joining them in order: $P(-3, 2), Q(-7, -3), R(6, -3), S(2, 2).$
View full solution →Plot the points $P(1, 0), Q(4, 0)$ and $S(1, 3)$. Find the coordinates of the point $R$ such that $PQRS$ is a square.
View full solution →Taking $0.5\ cm$ as $1$ unit, plot the following points on the graph paper: $A(1, 3), B(-3, -1), C(1, -4), D(-2, 3), E(0, -8), F(1, 0)$
View full solution →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.
View full solution →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 $AB.$
View full solution →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 $C.$
View full solution →In which quadrant or on which axis each of the following points lie? $(-3, 5), (4, -1), (2, 0), (2, 2), (-3, -6)$
View full solution →