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COMEDK2023MathematicsTrigonometric Ratios & Identities

If A=m B and ( A+B 2 )= ( B-A 2 ) , then is equal to

Options

  1. Am m-1
  2. Bm+1 m
  3. Cm+1 m-1
  4. DNone of these

Correct answer

C. m+1 m-1

Step-by-step solution

Given, A=m B A B =m On applying componendo and dividendo rule, we get array ll & A+ B A- B = m+1 m-1 & 2 ( A+B 2 ) ( A-B 2 ) 2 ( A+B 2 ) ( B-A 2 ) = m+1 m-1 & ( A+B 2 ) ( B-A 2 ) = m+1 m-1 & ( A+B 2 )= ( m+1 m-1 ) ( B-A 2 ) & = m+1 m-1 array

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