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The equation sec ^2 theta = ( 4xy )/...

The equation ` sec ^2 theta = ( 4xy )/( ( x+y)^2)` is possible for x,y, ` in R ` only if

A

`x+y=2xy`

B

`x+y=xy`

C

`x+y =1`

D

`x=y`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • sin theta = ( x + Y)/( 2 sqrt(xy)) is possible

    A
    all real x,y
    B
    `x , y gt 0`
    C
    `x=y ne 0`
    D
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  • (x+y)(x^(2)- xy +y^(2)) is equal to

    A
    `( x + y )^(3)`
    B
    `( x-y)^(3)`
    C
    `x^(3) + y^(3)`
    D
    `x^(3) - y^(3)`

  • (x+y) (x^(2)-xy+ y^(2)) is equal to

    A
    `(x+ y)^(3)`
    B
    `(x-y)^(3)`
    C
    `x^(3) + y^(3)`
    D
    `x^(3)-y^(3)`

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