A) \[x+y=0\]
B) \[x=y\]
C) \[x=0\]
D) \[y=0\]
Correct Answer: A
Solution :
[a] \[\therefore \]The equation of the curve is \[y=sin\text{ }x\] \[\therefore \frac{dy}{dx}=\cos x\] \[{{\left. \frac{dy}{dx} \right|}_{at\,(0,0)}}=\cos 0=1\] \[\therefore \] Slope of the normal \[=-1\] So, the equation of the normal at (0, 0) be \[y-0=m\left( x-0 \right)\] \[\Rightarrow y=(-1)x\] \[\Rightarrow x+y=0.\] Hence, option [a] is correct.You need to login to perform this action.
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