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Question

Question: The product of the lengths of sub tangent and subnormal at any point of a curve is equal to...

The product of the lengths of sub tangent and subnormal at any point of a curve is equal to

A

Square of the abscissa

B

Square of the ordinate

C

Constant

D

None of these

Answer

Square of the ordinate

Explanation

Solution

Sub tangent × sub normal

= ydy/dx×ydydx\frac{y}{dy/dx} \times y\frac{dy}{dx} = y2 = square of ordinate