Class 9 Maths MCQ – Coordinates and Quadrants – 2

This set of Class 9 Maths Chapter 3 Multiple Choice Questions & Answers (MCQs) focuses on “Coordinates and Quadrants – 2”.

1. What will be the coordinates of a point B if B is plotted as mirror image of A in 3rd Quadrant?

a) (7, 2)
b) (-5, -2)
c) (7, 8)
d) (0, -5)

Explanation: Coordinates of A = (-5, 2)
Since B is mirror image of A, x-coordinate will be same and y-coordinate will be same, but in 3rd quadrant. Therefore, Coordinates of B = (-5, -2).

2. What will be the coordinates of a point Q if Q is plotted diagonally opposite to P in 4th Quadrant?

a) (-4, -6)
b) (4, 6)
c) (-4, 6)
d) (4, -6)

Explanation: Coordinates of P = (-6, 4).
Since Q is diagonally opposite to P, value of x-coordinate of Q will be x-coordinate of P and value of y-coordinate of Q will be y-coordinate of P, but both in 4th quadrant.
So, Coordinates of Q = (4, -6).

3. What will be the coordinates of a point B if it is 2 units above origin in y axis direction and 2units to the left of A in x-axis direction?

a) (5, 2)
b) (0, 2)
c) (-5, 2)
d) (-5, -2)

Explanation: Coordinates of A = (7, 5). Since B is 2 units above origin, value of y-coordinate of B = 2. Also, B is 2 units to the left of A, value of x-coordinate of B = x-coordinate of A – 2 = 7 – 2 = 5.
Coordinates of B = (5, 2)

4. What will be the perpendicular distance of point P from x-axis?

a) 5 units
b) 4 units
c) 3 units
d) 2 units

Explanation: Perpendicular distance of a point from x-axis is the value of the ordinate of the point. Coordinates of point P = (5, 4). Point P is 4 units away from x-axis.

5. What will be the perpendicular distance of point Q from y-axis?

a) 8 units
b) 6 units
c) 5 units
d) 3 units

Explanation: Perpendicular distance of a point from y-axis is the value of the abscissa of the point. Coordinates of point Q = (3, 2). Point Q is 3 units away from y-axis.

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6. Identify the figure when point A, B and origin are joined as OA, OB and AB?

a) Circle
b) Rectangle
c) Triangle
d) Square

Explanation: Out of the given options, only a triangle can be formed with 3 points. Lines OA, OB and AB form a right angled triangle as A and B are having coordinates in different quadrants.

7. Calculate the area of triangle AOB formed by joining OA, OB and AB?

a) 5 sq. units
b) 15 sq. units
c) 10 sq. units
d) 0 sq. units

Explanation: Coordinates of A = (5, 0)
Coordinates of B = (0, 6)
Length of OA = 5 units
Length of OB = 6 units
Area of triangle AOB = 1/2 * base * height = 1/2 * 5 * 6 = 15 sq. units.

8. What will be the coordinates of B and C if B and C are mirror images of point A with respect to x and y axis respectively?

a) B(3, -5) and C(-3, 5)
b) B(3, 5) and C(3, 5)
c) B(-3, 5) and C(-3, 5)
d) B(3, -5) and C(3, -5)

Explanation: Coordinates of A = (3, 5). Since B is mirror image with respect to x-axis, only y-coordinate will be of opposite sign. So, coordinates of B = (3, -5). Since C is mirror image with respect to y-axis, only x-coordinate will be of opposite sign. So, coordinates of C = (-3, 5).

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.