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MHT CET202015 Oct 2020Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If A+B+C=180^ , then the value of ( A 2 ) ( B 2 )+ ( B 2 ) ( C 2 )+ ( C 2 ) ( A 2 ) is

Options

  1. A1
  2. B-1
  3. C-2
  4. D2

Correct answer

A. 1

Step-by-step solution

A B C, A+B+C= A+B= -C ( A+B 2 )= ( -C 2 )= ( 2 - C 2 ) A 2 + B 2 1- A 2 B 2 = C 2 A 2 + B 2 1- A 2 B 2 = 1 C 2 C 2 ( A 2 + B 2 ) =1- A 2 B 2 A 2 B 2 + B 2 C 2 + C 2 A 2 =1

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