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  • Please Solve R.D. Sharma Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Questions Question 5 Maths Textbook Solution.

Please Solve R.D. Sharma Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Questions Question 5 Maths Textbook Solution.

Answers (1)

Answer:

           \left ( c \right )\left ( 0,0 \right )

Hint:

        Use differentiation

Given:

            The curve x=at^{2},y=2at

Solution:

 We Have

\begin{aligned} &x=a t^{2}\\ &\frac{d x}{d t}=2 a t\\ &\text { And }\\ &y=2 a t\\ &\frac{d y}{d t}=2 a \end{aligned}

\frac{dy}{dx}=\frac{1}{t}=\infty,For tangent to the curve perpendicular to x-axis

t=0

So, the point of contact is \left ( at^{2},2at \right )=\left ( 0,0 \right )

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