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Q.

Let ‘C’ be the locus of the mirror image of a point on the parabola y2=4x with respect to the line y=xThen the equation of tangent to ‘C’ at P(2,1)is:

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a

x+3y=5

b

x+2y=4

c

x−y=1

d

2x+y=5

answer is C.

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Detailed Solution

The image of y2=4x with respect to the line y=x is x2=4y.  Hence the equation of the curve C is x2=4y Tangent at P(2,1) is S1=0 2x=2(y+1) x-y-1=0
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