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Q.

Let PQ be the latus rectum of the parabola y2 = 4x with vertex A. minimum length of the
projection of PQ on a tangent drawn in portion PAQ of parabola  is

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a

2

b

4

c

23

d

22

answer is D.

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Detailed Solution

 Let tangent at Pt2,2t make an angle θ with x-axis.   Then tan⁡θ=1t  Projection of PQ on tangent  =PQ sin⁡θ=41+t2≥22   (as−1≤t≤1)
 

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