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If (sinx)(cosy)=1/2, then (d^2y)/(dx^2) ...

If `(sinx)(cosy)=1/2,` then `(d^2y)/(dx^2)` at `(pi/4,pi/4)` is (a) `-4` (b) `-2` (c) `-6` (d) `0`

Answer

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Knowledge Check

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

    A
    `-4`
    B
    `-2`
    C
    `-6`
    D
    0

  • If 2 sin x. cos y=1, then (d ^(2)y)/(dx ^(2)) at ((pi)/(4), (pi)/(4)) is …….

    A
    `-4`
    B
    `-2`
    C
    `-6`
    D
    0

  • If (a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, where a gt b gt 0 , then (dx)/(dy) at (pi/4,pi/4) is :

    A
    `(a-b)/(a+b)`
    B
    `(a+b)/(a-b)`
    C
    `(2a+b)/(2a-b)`
    D
    `(a-2b)/(a+2b)`

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