Grade 9 : Mathematics - Coordinate Geometry (Set 3)

Question 1

Point $P(-4, 5)$ lies in which quadrant of the Cartesian plane?

Accepted Answer

B) Quadrant II

Answer

A) Quadrant I

Answer

C) Quadrant III

Answer

D) Quadrant IV

Question 2

The abscissa of a point is positive and its ordinate is negative. In which quadrant does the point lie?

Accepted Answer

D) Quadrant IV

Answer

A) Quadrant I

Answer

B) Quadrant II

Answer

C) Quadrant III

Question 3

What is the perpendicular distance of the point $A(-6, 8)$ from the Y-axis?

Accepted Answer

B) 6 units

Answer

A) -6 units

Answer

C) 8 units

Answer

D) 10 units

Question 4

If the coordinates of two points are $A(3, -2)$ and $B(-3, 5)$, then $( ext{abscissa of } A) - ( ext{abscissa of } B)$ equals:

Accepted Answer

B) 6

Answer

A) 0

Answer

C) -6

Answer

D) 3

Question 5

A point whose ordinate is 4 and which lies on the Y-axis has coordinates:

Accepted Answer

B) $(0, 4)$

Answer

A) $(4, 0)$

Answer

C) $(4, 4)$

Answer

D) $(-4, 0)$

Question 6

Four points are plotted sequentially on a grid: $P(0, 0)$, $Q(5, 0)$, $R(5, 4)$, and $S(0, 4)$.

What quadrilateral is formed by joining P, Q, R, and $S$ in order?

Accepted Answer

B) Rectangle

Answer

A) Square

Answer

C) Rhombus

Answer

D) Trapezium

Question 7

Find the area of the triangle formed by the vertices $O(0, 0)$, $A(6, 0)$, and $B(0, 8)$.

Accepted Answer

B) 24 sq units

Answer

A) 14 sq units

Answer

C) 48 sq units

Answer

D) 12 sq units

Question 8

If $p + 2 = 0$ and $q - 3 = 0$, in which quadrant does the point $(p, q)$ lie?

Accepted Answer

B) Quadrant II

Answer

A) Quadrant I

Answer

C) Quadrant III

Answer

D) Quadrant IV

Question 9

The reflection of the point $M(-3, -7)$ across the X-axis is:

Accepted Answer

B) $(-3, 7)$

Answer

A) $(3, -7)$

Answer

C) $(3, 7)$

Answer

D) $(-7, -3)$

Question 10

What is the distance of the point $K(7, -9)$ from the X-axis?

Accepted Answer

C) 9 units

Answer

A) 7 units

Answer

B) -9 units

Answer

D) 16 units

Question 11

A point $(a, b)$ satisfies $b = 2a - 3$. If its abscissa is 4, find its ordinate $b$.

Accepted Answer

A) 5

Answer

B) 8

Answer

C) 11

Answer

D) 3

Question 12

On plotting points $A(2, 2)$, $B(-2, 2)$, $C(-2, -2)$, and $D(2, -2)$ on a Cartesian graph, figure ABCD forms a:

Accepted Answer

B) Square

Answer

A) Rectangle

Answer

C) Parallelogram

Answer

D) Trapezium

Question 13

Find the perimeter of the rectangle formed by joining vertices $A(1, 1)$, $B(7, 1)$, $C(7, 5)$, and $D(1, 5)$.

Accepted Answer

B) 20 units

Answer

A) 10 units

Answer

C) 24 units

Answer

D) 12 units

Question 14

In which position does the point $T(0, -8)$ lie on the Cartesian plane?

Accepted Answer

D) Negative Y-axis

Answer

A) Quadrant III

Answer

B) Quadrant IV

Answer

C) Negative X-axis

Question 15

A point lies in Quadrant III. Which of the following conditions must be true for its coordinates $(x, y)$?

Accepted Answer

C) $x < 0$ and $y < 0$

Answer

A) $x > 0$ and $y < 0$

Answer

B) $x < 0$ and $y > 0$

Answer

D) $x > 0$ and $y > 0$

Question 16

The area of the triangle with vertices $A(-4, 0)$, $B(4, 0)$, and $C(0, 5)$ is:

Accepted Answer

B) 20 sq units

Answer

A) 10 sq units

Answer

C) 40 sq units

Answer

D) 16 sq units

Question 17

Three vertices of a square are $A(0, 0)$, $B(0, 3)$, and $D(3, 0)$. What are the coordinates of the fourth vertex $C$?

Accepted Answer

A) $(3, 3)$

Answer

B) $(-3, 3)$

Answer

C) $(3, -3)$

Answer

D) $(0, 0)$

Question 18

The point of intersection of the two perpendicular axes on a Cartesian plane is called the:

Accepted Answer

C) Origin

Answer

A) Abscissa

Answer

B) Ordinate

Answer

D) Quadrant

Question 19

If the ordinate of a point is twice its abscissa, and the point lies in Quadrant I with an abscissa of 3.5, what are its coordinates?

Accepted Answer

A) $(3.5, 7)$

Answer

B) $(7, 3.5)$

Answer

C) $(-3.5, 7)$

Answer

D) $(3.5, -7)$

Question 20

The signs of the abscissa and ordinate of any point located in Quadrant II are respectively:

Accepted Answer

B) $(-, +)$

Answer

A) $(+, +)$

Answer

C) $(-, -)$

Answer

D) $(+, -)$

Grade 9 : Mathematics - Coordinate Geometry (Set 3)