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Question

The equation to the normal to the curve y=sinx at (0,0) is

A
x=0
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B
y=0
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C
x+y=0
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D
xy=0
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Solution

The correct option is C x+y=0
Given: y=sinx

To find: Eq. of normal to curve at (0,0)
Solution: y=sinx

dydx=cosx

dydx](0,0)=cos0=1

Eq. of normal:
Slope of normal
=1dydx=1

Eq. of normal at (0,0) y0=1(x0)
y=x
y+x=0
x+y=0 is the required.

Eq. of normal to curve y=sinx at (0,0).

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