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Question

Mathematics Question on Tangents and Normals

The length of the sub-tangent, ordinate and the sub-normal are in

A

A.P.

B

H.P.

C

G.P

D

Arithmetico geometric progression

Answer

G.P

Explanation

Solution

\because Subtangent =y×dxdy=y \times \frac{d x}{d y}
and subnormal =y×dydx=y \times \frac{d y}{d x}
\therefore Subtangent ×\times subnormal =y2=( ordinate )2=y^{2}=(\text { ordinate })^{2}
Hence, length of the subtangent, ordinate and the subnormal are in GP.