Question

Foot of the perpendicular of (1, 1) on the line x + 2y = 8 is (2, 3). Find the image of (1, 1) in the line x + 2y = 8.

• A. (5, 3)
• B. (3, 5)
• C. (-2, 4)
• D. (-4, 2)

Answer 1

The correct option is B

(3, 5)

We want to find the co-ordinates of Q. Since Q is the image of P, PR = QR.

$\Rightarrow$ $\frac{h+1}{2}$ , $\frac{k+1}{2}$ $\equiv$ (2,3)

h = 3, k = 5

Q (3, 5)