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Manipal MET2016MathematicsTrigonometric Ratios & Identities

If A+ B=a and B+ A=b , then (A+B) is equal to

Options

  1. Aa^2+b^2 2
  2. Ba^2-b^2+2 2
  3. Ca^2+b^2-2 2
  4. DNone of these

Correct answer

C. a^2+b^2-2 2

Step-by-step solution

On squaring and adding the given equations, we get + ^2 A+2 B A=a^2+b^2 aligned & 2 (A+B)+2=a^2+b^2 & (A+B)= a^2+b^2-2 2 aligned

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