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MHT CET202121 Sep 2021Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If + = and = k (where K >1) , then the value of ( - ) is

Options

  1. Ak
  2. B( k -1 k +1 )
  3. Ck

Correct answer

C. k

Step-by-step solution

We have = k and + = = k 1 By Componendo Dividendo, we get aligned & + - = k +1 k -1 & + - = k+1 k-1 & + - = k+1 k-1 & ( + ) ( - ) = k +1 k -1 ( - ) = k +1 k -1 & ( - )= k -1 k +1 ( ) & aligned

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