Question

Equation of the image of the pair of rays y = | x | by the line x = 1 is

• A. |y|=x + 2
• B. |y| + 2 = x
• C. y = |x - 2|
• D. y=x+2 and y=x-2

Answer 1

The correct option is C y = |x - 2|

Solution : y = |x| gives
y = x ...(1)
and y = -x ...(2)
Image of line (1) passes through (2, 0) and perpendicular to (1)



i.e. y = 2 - x ..(3)

Similarly image of live (2) also passes (2, 0) and perpendicular to (2) i.e. y = x - 2 ...(4)

Combing (3) and (4) y =|x - 2|
Answer C.