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The length of sub tangent, ordinate of a point and length of sub normal at a point (other than origin) on $y^{2} = 4 ax$ are in

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H.P

G.P

A.P

A.G.P

answer is B.

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Detailed Solution

$let P = (x_{1}, y_{1}) b e a n y p o i n t o n c u r v e L . S . T = |\frac{y_{1}}{m}| o r d i n a t e o f t h e p o i n t = y_{1} L . S . N = |y_{1} m|; ∴ L . S . T, y_{1}, L . S . N are in \underline{\underline{G . P}}$

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