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Manipal MET2012MathematicsTrigonometric Ratios & Identities

If in a A B C 2 A a + B b + 2 C c = a b c + b a c then b^2+c^2 is equal to

Options

  1. Aa^2
  2. Ba c
  3. Cb c
  4. DNone of these

Correct answer

A. a^2

Step-by-step solution

We have, 2 A a + B b + 2 C c = a b c + b a c On multiplying both sides by a b c array cc & 2 b c A+a c B+2 a b C=a^2+b^2 & (b^2+c^2-a^2 )+ (c^2+a^2-b^2 ) 2 & + (a^2+b^2-c^2 )=a^2+b^2 & (c^2+a^2-b^2 )=2 a^2-2 b^2 & b^2+c^2=a^2 array

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