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sec^(2)theta = frac{4xy}{(x+y)^(2)} is ...

`sec^(2)theta = frac{4xy}{(x+y)^(2)}` is true if and only if

A

`x +y ne 0`

B

`x=y`, `x ne 0`

C

x =y

D

`x ne 0, y ne 0 `

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The correct Answer is:
B
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A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If A, B, C are in AP and B = pi/4 , then tan A *tan B*tan C = .

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  2. If p in (0, pi) then the set of values of p for which sin p* cos^(3) ...

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  3. sec^(2)theta = frac{4xy}{(x+y)^(2)} is true if and only if

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  4. If cos theta + sec theta = 2 then cos^(n)theta+ sec^(n)theta is equal ...

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  5. If alpha = theta1 +theta2 and x = theta1 -theta2 and tan theta1 = lamb...

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  6. If ABCD is a cyclic quadrilateral then cos A + cos B + cos C + cos D ...

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  7. tan 40^@ + 2tan 10^@ is equal to

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  8. If cos(alpha + gamma)/cos(alpha - gamma) = cos 2beta then tan alpha, t...

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  9. The value of sqrt3 cosec 20^circ - sec 20^circ is equal to

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  10. The number of real values of x for which sin(e^x) = 5^(x)+5^(-x) is

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  11. If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...

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  12. What is the real part of ( sin x + icos x )^(3), where i= sqrt( -1) ?

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  13. If alpha, beta be the solutions of theta for the equation a tan theta...

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  14. The value of cos^(2)x + cos^(2) (pi/3 + x) - cos x *cos(pi/3+ x) is

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  15. The equation (cos p-1) x^(2) + cos p*x + sin p = 0 where x is a varia...

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  16. If tan theta + tan (pi/3 +theta) + tan (frac{2pi}{3}+ theta) = k tan 3...

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  17. The value of sin sqrt(x^(2) - pi^(2)/36) lies in the interval

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  18. If alpha, beta are two values lying between 0 and 2pi for which tan t...

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  19. (2+sin 2x)/(1+cos 2x) e^(x)

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  20. sin theta = x + 1/x is possible for some real values of x.

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