Question

if (p,4) is mapped into (q,-3) under a rotation through+90° about origin . then find the values of p and q​

Answer 1

p = 3

q = 4

Explanation:

Rotation by +90° (clockwise) about the origin: (x, y) → (y, -x)

Therefore, (p, 4) rotated by +90° about the origin:

(p, 4) → (4, -p)

Therefore:

(4, -p) = (q, -3)

⇒ p = 3

⇒ q = 4

Therefore, (3, 4) is mapped into (4, -3) under a rotation by +90° about the origin.