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Q.

The equation of the line AB is y = x. If A and B lie on the same side of the line mirror 2x - y = 1, then the equation of the image of AB, is

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a

x + y- 2 = 0

b

8x + y - 9 = 0

c

7x-y-6 = 0

d

none of these

answer is C.

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Detailed Solution

The required line is the line passing through the intersection of two lines and the image of a point on the line y = x in the line minor 2x - y ~· l.x−02=y−0−1=−22×0−0−0−14+1⇒ x=45,y=−25Thus, the required line passes through (1, 1) and 45,−25So, its equation isy−1= 2−14(x−1)y−1=7(x−1)⇒7x−y−6=0
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