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Please solve RD Sharma Class 12 Chapter 15 Tangents and Normals Exercise Very Short Answer Question 4 maths textbook solution.

Answers (1)

Answer : \frac{dy}{dx}=0

Hint :

1. The slope of y - axis  is \infty.

2. Using, \text{Slope of tangent}=\frac{-1}{\text {slope of normal}}

Given:  The normal of the curve y=f (x) at (x,y) is  parallel to y -axis.

We have to write the value of \frac{dy}{dx}


We know that,

The slope of y - axis is \infty

Also, The normal of the curve y=f(x) \text { at }(x, y) is parallel to y - axis.

\therefore      slope of normal = slope of y- axis

\begin{aligned} &\Rightarrow \quad \quad \frac{d y}{d x}=\text { Slope of tangent }=\frac{-1}{\text { slope of normal }} \\ &\; \; \; \; \; \; \; \; \; \; \; =\frac{-1}{\infty}=0 \end{aligned}

Hence, \frac{dy}{dx}=0

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