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Questions  

If the tangents at the extremities of a focal chord of
the parabola x2=4ay meet the tangent at the vertex
at points whose abcissac are x1 and x2 then x1x2=

a
a2
b
a2-1
c
a2+1
d
-a2

detailed solution

Correct option is D

One extremity of the focal chord be 2at,at2 . Equationof the tangent is tx=y+at2 which meets thetangent at the vertex y=0 at x=at so  x1=at and x2=a−1t thus x1x2=−a2.

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