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Q.

The equation of line segment AB is y = x. If A & B lie on same side of line mirror $2 x - y = 1$ , then the equation of image of AB with respect to line mirror $2 x - y = 1$ is

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a

$y = 7 x - 5$

b

$y = 7 x - 6$

c

$y = 3 x - 7$

d

$y = 6 x - 5$

answer is B.

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Detailed Solution

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Image of (0,0) w.r.t. L lies on $L_{1}^{'}$

Image of (0,0) w.r.t. L is $(\frac{4}{5}, \frac{- 2}{5})$

$L_{1}^{'}$ passes through (1,1) and $(\frac{4}{5}, \frac{- 2}{5})$

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