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If x = a cos theta + b sin theta and y=a...

If `x = a cos theta + b sin theta` and `y=a sin theta-b cos theta`, the value of `x^2+y^2` is:
यदि `x = a cos theta + b sin theta` तथा `y=a sin theta-b cos theta` है, तो `x^2+y^2` का मान ज्ञात करें |

A

`a^2-b^2`

B

`a-b`

C

`a^2+b^2`

D

`a+b`

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Knowledge Check

  • If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

    A
    `x ^(2) -y^(2)`
    B
    `x ^(2) +y^(2)`
    C
    `(x+y)^(2)`
    D
    `(x-y)^(2)`

  • If x = a cos theta - b sin theta and y = b cos theta + a sin theta , then the value of x^(2) + y^(2) is

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

  • If x = a cos^(2) theta sin theta and y = a sin^(2) theta cos theta , then ( x^(2) + y^(2))^(3) is

    A
    `a^(2) x^(2) //y^(2)`
    B
    `a^(2) x^(2) y ^(2)`
    C
    `a^(2) ( x^(2) - y^(2))`
    D
    none

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