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AP EAMCET202318 May 2023Evening ShiftMathematicsTrigonometric EquationsActual

If + = 1 3 and + = 1 4 , then ( + )=

Options

  1. A24 25
  2. B7 25
  3. C13 25
  4. D12 13

Correct answer

B. 7 25

Step-by-step solution

Given + = 1 3 2 ( + 2 ) ( - 2 )= 1 3 .....(i) & + = 1 4 2 ( + 2 ) ( - 2 )= 1 4 .....(ii) Eqn. (ii) divided by (i) ( + 2 )= 3 4 Now, ( + )= 2 ( + 2 ) 1+ ^2 ( + 2 ) = 2 3 4 1+ ( 3 4 )^2 = 24 25

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