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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Question Question 18 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Question Question 18 Maths Textbook Solution.

Answers (1)

Answer:

            (c) Is the correct option

Hint:

        Use slope \left ( 1 \right )\times slope\left ( 2 \right )=-1

Given:

            y=2e^{x},y=be^{-x}

Solution:

y=ae^{x}                                (1)

Differentiating w.r.t x, we get

\frac{dy}{dx}=ae^{x}

And y=be^{-x}                        (2)

Since equation (1) and equation (2) intersect orthogonally

\begin{aligned} &\text { slope }(1) \times \operatorname{slope}(2)=-1 \\ &a e^{x} \times b e^{-x}=1 \\ &a b=1 \end{aligned}

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