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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`

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A
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Knowledge Check

  • If x+y=3-cos 4 theta and x-y=4sin 2 theta ,the value of sqrtx+sqrty is equal to

    A
    2
    B
    4
    C
    6
    D
    8

  • if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(3pi)/(4) is

    A
    `-1`
    B
    1
    C
    `-a^(2)`
    D
    `a^(2)`

  • The equation of tangent to the curve given by x = 3 cos theta , y = 3 sin theta , at theta = (pi)/(4) is

    A
    ` x + y = sqrt(2)`
    B
    `3x + y = 3sqrt(2)`
    C
    `x + y = 3 sqrt(2)`
    D
    `x + 3y = 3sqrt(2)`

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