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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`

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The correct Answer is:
D
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NEW JOYTHI PUBLICATION-TRIGONOMETRIC FUNCTIONS-EXERCISE
  1. The equation sec ^2 theta = ( 4xy )/( ( x+y)^2) is possible for x...

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

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  3. ( tan (-225 ^@)tan (570 ^@)sec (675 ^@))/( cot (135^@ ) tan ( 240 ^...

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  4. If tan theta = (-4)/(3) then " cosec" theta is

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  5. IF ( sec A - tan A) ( sec B - tan B) ( sec C- tan C ) =(sec A + tan...

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  6. The value of tan 31^@ tan 33 ^@ tan 35 ^@ tan 50^@ is

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  7. If pi/2 lt theta lt 3 pi/2 then sqrt( (1-sin theta)/(1+ sin t...

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  8. sqrt((1+ cos theta)/( 1- cos theta)) + sqrt((1- cos theta)/( 1 + cos...

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  9. If tan theta = 1/b , then ( a sin theta - b cos theta )/( a ...

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  10. if ( cos A + cos B )/( sin A + sin B ) = k ( (sin A - sin B)/ ( ...

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  11. in a cyclic quadrilateral ABCD , cos A + cos B + cos C + cos ...

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  12. If tan x - tany = a and cot y - cot x =b , then cot (x-y) is

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  13. If tan 25 ^@ =a then ( tan 155^@ - tan 115^2 )/( 1+tan 155^2 ...

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  14. sin ^2 ""(2pi )/(7) + sin ^2"" (3pi )/(14) + sin ^2 ""(11 pi)/(14) ...

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  15. cos^2 ""(pi)/(8) + cos ^2 ""(3 pi)/(8) + cos ^2 ""(5 pi)/(8) + cos...

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  16. The minimum value of 7 cos theta + 24 sin theta is

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  17. sec ((pi)/(4) + theta ) . Sec ((pi)/(4) - theta ) is equal to

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  18. If sin A + cos A =m then sin ^6 A + cos ^6 A is

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  19. (cot theta + "cosec" theta -1)/( cot theta - "cosec" theta +1) is

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  20. If (sin (A+B))/( sin (A-B )) = (x+y)/(x-y) , then x/y

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