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AP EAMCET202418 May 2024Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

^2 76^ + ^2 16^ - 76^ 16^ =

Options

  1. A0
  2. B1 4
  3. C3 4
  4. D4 3

Correct answer

C. 3 4

Step-by-step solution

Since, ^2 76^ + ^2 16^ - 76^ 16^ = 1 2 2 ^2 76^ +2 ^2 16^ -2 76^ 16^ aligned & = 1 2 1- 152^ +1- 32^ + 92^ - 60^ & = 1 2 1- 1 2 -2 92^ 60^ + 92^ aligned = 1 2 ( 3 2 - 2 2 92^ + 92^ )= 3 4

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