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Provide Solution For R.D.Sharma Maths Class 12 Chapter 15 Tangents and Normals Exercise Multiple Choice Questions Question 1 Maths Textbook Solution.

Answers (1)

Answer:

            \left ( c \right )x+y=0

Hint:

        Use differentiation

Given:

            y=sin\: x

Solution:

y=\sin \: x

\frac{dy}{dx}=\cos \: x

\frac{dy}{dx}|\left ( _{0,0} \right )=\cos 0=1

Equation of normal: slop of normal

=\frac{-1}{\frac{dy}{dx}}=-1

Equation of normal at \left ( 0,0 \right )

y-0=-1\left ( x-0 \right )

y=-x

y+x=0

x+y=0 Is the requried

Equation of normals to  curve y=\sin x at \left ( 0,0 \right )

 

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