Q.

Let the curve  C  be the mirror image of the parabola y2=4x with respect to the line x+y+4=0. If A and B are the points  of  inter section of  C (with the line y=5)  then the distance between A and B is

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answer is 4.

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Detailed Solution

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Let Pt2,2t be point on y2=4x Qh,kis image in x+y+4=0

ht21=K2t1=2t2+2t+42

h=2t+4  ,  K=t2+4

Now y=5 intersects this locus

K=5   so t=±1   Hence  h=2,6

A2,5B6,5 AB=4   

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