Question

The image of the point P(3, 5) with respect to the line y = x is the point Q and the image of Q with respect to the line y = 0 is the point R(a, b), then (a, b) =

• A. (5, 3)
• B. (5, –3)
• C. (–5, 3)
• D. (–5, –3)

Answer 1

The correct option is B

(5, –3)

Let (x1, y1) be the image of the point P (3, 5) with respect to the line y = x.

Then, x1 = 5, y1 = 3.

$\therefore$ Q = (5, 3)

Since the image of the point Q(5, 3) with respect to the line y = 0 is (a, b)

$\therefore$ a = 5 and b = –3

$\therefore$ (a, b) = (5, –3)