Q.

A line passes through (2,0). Let m1,m2 are the slopes of lines for which its intercept between y=x-1 and y=-x+1 subtends a right angle at the origin then 1m12+1m22 is

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answer is 6.

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Detailed Solution

(2,0)y=mx+cy=mx22m

A=(2m1m1,mm1),B=(2m+1m+1,mm=1)

Slope of 0A (slope of B =-1

3m21=0m=±13 1m12+1m22=6    

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