Q.

The slope of the normal to the curve x=at3, y=at4 at t=1 is

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a

−12

b

−23

c

14

d

−34

answer is D.

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Detailed Solution

x=at3,  y=at4 at t=1 dydx=4at33at2=43 at t=1Slope of normal=−1(dydx)t=1=−1(43)=−34
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