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AP EAMCET202022 Sep 2020Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If ( x 2 )= m n , then the value of m (x)+n (x) is equal to

Options

  1. Am
  2. B-m
  3. C-n
  4. Dn

Correct answer

D. n

Step-by-step solution

It is given that x 2 = m n , so aligned m (x)+n (x) & =m ( 2 x 2 1+ ^2 x 2 )+n 1- ^2 x 2 1+ ^2 x 2 & =m 2 ( m n ) 1+ m^2 n^2 +n 1- ( m^2 n^2 ) 1+ ( m^2 n^2 ) & = 2 m^2 n m^2+n^2 + n (n^2-m^2 ) m^2+n^2 & = n (2 m^2+n^2-m^2 ) m^2+n^2 =n aligned

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