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  • Provide Solution For R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Questions Question 15 Maths Textbook Solution.

Provide Solution For  R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Questions Question 15 Maths Textbook Solution.

Answers (1)

Answer:

            \left ( c \right )6

Hint:

        Use slope of the tangent m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Given:

            ay+x^{2}=7 And x^{3}=y

Solution:

Slope of the tangent at (1,1) to ay+x^{2}=7 is m_{1}=-\frac{2}{a}

Slope of the tangent at (1,1) to x^{3}=y is m_{2}=3

Curve cuts through orthogonally m_{1}\times m_{2}=3

\begin{aligned} &\therefore m_{1} \times m_{2}=-\frac{2}{a} \cdot 3=-1 \\ &\therefore a=6 \end{aligned}

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