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$Tangents are drawn from any point on the line x + 4 a = 0 to the parabola y^{2} = 4 a x . Then the angle subtended by$
$chord of contact at the vertex is$

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a

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d

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detailed solution

Correct option is D

Let Pat12,2at1 and Qat12,2at2 be the points of contact for tangents drawn from any point on the line x+4a=0 Their point of intersection will be on this line. Therefore, at1t2+4a=0or t1t2=−4This is also the condition for chord PQ to subtend a right angleat the vertex.

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$If the chord of contact of tangents from a point P to the parabola y^{2} = 4 a x touches the parabola x^{2} = 4 b y, then the$ $locus of P is$

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