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AP EAMCET202018 Sep 2020Evening ShiftMathematicsTrigonometric EquationsActual

If ( = ) and ( = ), then ( - = ) for some integer (n ).

Options

  1. A(n )
  2. B(2 n + 2 )
  3. C(2 n - 2 )
  4. D(2 n )

Correct answer

D. (2 n )

Step-by-step solution

It is given that, ( = ) ( 2 ( - 2 ) ( + 2 )=0 ) ...(i) and ( = ) ( 2 ( + 2 ) ( - 2 )=0 ) ...(ii) from Eqs. (i) and (ii), we get ( aligned & ^2 ( - 2 ) [ ^2 ( + 2 )+ ^2 ( + 2 ) ] =0 & ^2 ( - 2 ) =0 & - 2 =n aligned ) ( - =2 n , n ) Integer Hence, option (d) is correct.

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