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Question

If x=acos3θ, y=asin3θ, then 1+(dydx)2 is


Your Answer
A
tanθ
Your Answer
B
tan2θ
Correct Answer
C
sec2θ
Your Answer
D
1

Solution

The correct option is C sec2θ
dxdθ=3acos2θsinθdydθ=3asin2θcosθdydx=tanθ1+(dydx)2=1+tan2θ=sec2θ

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