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  • Please solve RD Sharma Class 12 Chapter 15 Tangents and Normals Exercise Very Short Answer Question 5 maths textbook solution.

Please solve RD Sharma Class 12 Chapter 15 Tangents and Normals Exercise Very Short Answer Question 5 maths textbook solution.

Answers (1)

Answer : \frac{dy}{dx}=1\; \text{or} -1

Hint:

The curve is equally inclined to the axes, then the angle made by the tangent with axes can be  \pm 45^{o}.

Given:

Here given that,

The tangent to a curve at a point (x,y)is equally inclined to the co-ordinate axes.

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

Solution :

We know that,

The tangent to a curve at a point (x,y) is equally inclined to the co-ordinate axes, the angle made by the tangent with axes can be \pm 45^{o}.

\therefore                  \frac{dy}{dx}= \text {slope of tangent}

\Rightarrow \frac{dy}{dx}=\tan (\pm 45^{o})=\pm 1

Hence, \frac{dy}{dx}=1 or -1

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