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KCET2008MathematicsTrigonometric Ratios & Identities

If 1+ A 1- A = x y , then the value of A is equal to

Options

  1. Ax²+y² x²-y²
  2. B2 x y x²+y²
  3. C2 x y x²-y²
  4. D2 x y y²-x²

Correct answer

C. 2 x y x²-y²

Step-by-step solution

Given, 1+ A 1- A = x y 2 ² A 2 2 ² A 2 = x y A 2 = y x Now, A= 2 A 2 1- ² A 2 = 2 y x 1- ( y x )² = 2 x y x²-y²

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