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A parabola $C$ whose focus is $S (0, 0)$ and passing through $P (3, 4)$ . Equation of tangent at vertex of the parabola is $3 x + 4 y = 25$ . A chord through $S$ parallel to tangent at $P$ intersect the parabola at $A$ and $B$ , then radius of the circumcircle of triangle formed by tangents drawn to the Parabola at $A, B$ and chord $A B$ is………..

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$14$

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answer is D.

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Detailed Solution

$AB = 4 PS = 4 (5) & AB = 20 units$
Radius of circumcircle =10
$AB = 4 PS = 4 (5) & AB = 20 units$

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