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Question

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

A
| y | = x + 2
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B
| y | + 2 = x
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C
y = | x - 2|
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D
none of these
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Solution

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.

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