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  2. The slope of the normal to the curve y = 2 x ^ 2 + 3 sin x at x = 0 is
# NCERT

26) The slope of the normal to the curvey = 2x ^2 + 3 \sin x \: \: at \: \: x = 0is
(A) 3                                       (B) 1/3                               (C) –3                                           (D) -1/3

Answers (1)
G Gautam harsolia

Equation of the given curve is 
y = 2x ^2 + 3 \sin x
Slope of tangent = \frac{dy}{dx} = 4x +3 \cos x
at x = 0
\frac{dy}{dx} = 4(0) +3 \cos 0= 0 + 3
\frac{dy}{dx}= 3
Now, we know that
Slope \ of \ normal = \frac{-1}{\ Slope \ of \ tangent} = \frac{-1}{3}
Hence, (D) is the correct option 

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