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If x= a(cos theta + sin theta), y= a(sin...

If x= a(cos `theta` + sin `theta`), y= a(sin `theta` + cos `theta`), then [(`d^2` y)/(d`x^2`) ] at `theta` = `pi`/4 ............. A) 0 B) 1 C) -1 D) `1/sqrt 2`

A

`frac{8 `sqrt 2}{a`pi`}

B

- `frac{8 `sqrt 2}{a`pi`}

C

`frac{a`pi`}{8 `sqrt 2}

D

`frac{4 `sqrt 2}{a`pi`}

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Knowledge Check

  • If x=a (cos theta + theta sin theta), y= a (sin theta- theta cos theta) then [(d^(2)y)/(dx^(2))]_(theta = (pi)/(4)) = …..

    A
    `(8 sqrt2)/(a pi)`
    B
    `-(8 sqrt2)/(a pi)`
    C
    `(a pi)/(8 sqrt2)`
    D
    `(4 sqrt2)/(a pi)`

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