Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

At any point of a curve (subtangent) × (subnormal) is equal to the square of the

Options:

slope of the tangent at that point

slope of the normal at that point

abscissa of that point

square of ordinate of that point

Correct Answer:

square of ordinate of that point

Explanation:

We have,

Sub normal = $y \frac{d y}{d x}$,  Sub tangent = $\frac{y}{\frac{d y}{d x}}$

∴  Sub normal × Sub tangent = $y^2$