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If (sin x) (cos y) = 1//2 then (d^2y)/(...

If `(sin x) (cos y) = 1//2 ` then `(d^2y)/(dx^2) ` at `((pi)/4"," (pi)/4)` is equal to

A

`-4`

B

`-2`

C

`-6`

D

`0`

Text Solution

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The correct Answer is:
A
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1. If x = at ^(2) , y = 2 at then (dy)/(dx) at t =1 is A 2 If x =cos theta, y = sin theta then (dy)/(dx) at theta = (pi)/(4) is B 3 If x =1 - cos theta, y = sin theta , then (dy )/(dx) at theta = (pi)/(6) is C 4 If x = log sin theta, y = tan theta then (dy)/(dx) at theta = (pi)/(4) is D. The ascending order of A,B,C,D is