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  • Provide solution for RD Sharma maths class 12 Chapter 15 Tangents and Normals Exercise Very Short Answer Question 6 maths text book solution.

Provide solution for RD Sharma maths class 12 Chapter 15 Tangents and Normals Exercise Very Short Answer Question 6 maths text book solution.

Answers (1)

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

Hint : Slope of the y-axis is \infty.

Given :

Given that

The tangent line at a point (x,y) on the curvey =f(x) is parallel to y-axis.

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

Solution :

We know that,

The slope of the y-axis is \infty.

Also, the tangent line at a point (x,y) on the curvey =f(x) is parallel to y-axis.

\text {Slope of tangent}=\frac{\text{dy}}{\text{dx}} = slope of y-axis

\begin{aligned} &\Rightarrow \quad \frac{d y}{d x}=\infty \\ &\therefore \frac{d x}{d y}=\frac{1}{\frac{d y}{d x}}=\frac{1}{\infty}=0 \end{aligned}

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

 

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