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Manipal MET2012MathematicsTrigonometric Ratios & Identities

If A=m B , and A+B 2 = B-A 2 , then is

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

We have, A=m B A B = m 1 On applying componendo and dividendo rule, we get aligned & A+ B A- B = m+1 m-1 & 2 ( A+B 2 ) ( B-A 2 ) 2 ( A+B 2 ) ( B-A 2 ) = m+1 m-1 aligned ( A+B 2 )= ( m+1 m-1 ) ( B-A 2 ) But, A+B 2 = ( B-A 2 ) (given) = m+1 m-1

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