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If x +y= 3-cos4theta and x-y=4sin2theta ...

If `x +y= 3-cos4theta` and `x-y=4sin2theta` then

A

`x^(4)+y^(4)=9`

B

`sqrt(x)+sqrt(y)=16`

C

`x^(3)+y^(3)=2(x^(2)+y^(2))`

D

`sqrt(x)+sqrt(y)=2`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • P_1 and P_2 are the length of perpendicular from origin to the line x sec theta + y cosec theta =a and x cos theta - y sin theta = a cos 2 theta then ….... of the following is valid.

    A
    `4P_1^2 + P_2^2 = a^2`
    B
    `P_1^2 + 4P_2^2 = a^2`
    C
    `P_1^2 + P_2^2 = a^2`
    D
    None of these

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