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If x sin^(3) theta + y cos^(3) theta = s...

If `x sin^(3) theta + y cos^(3) theta = sin theta cos theta` and `x sin theta = y cos theta`, then the value of `x^(2) + y^(2)` is :

A

4

B

0

C

2

D

1

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :

    A
    1
    B
    `sin theta - cos theta`
    C
    `sin theta + cos theta`
    D
    0

  • If x sin^3 theta+y cos^3 theta=sin theta cos theta and x sin theta=y cos theta, then x^2+y^2 is equal to

    A
    2
    B
    0
    C
    3
    D
    1

  • 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`

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