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AP EAMCET202018 Sep 2020Morning ShiftMathematicsProperties of TrianglesActual

For (A, B ) and (C ), if (A+B+C=0 ), then ( (2 A)+ (2 B)+ (2 C) ) is equal to

Options

  1. A(4 (A) (B) (C) )
  2. B(2 (A) (B) (C) )
  3. C(-4 (A) (B) (C) )
  4. D(-2 (A) (B) (C) )

Correct answer

C. (-4 (A) (B) (C) )

Step-by-step solution

For (A+B+C=0 ) ( aligned 2 A+ & 2 B+ 2 C & =2 (A+B) (A-B)+2 C C & =-2 C (A-B)+2 C (A+B) & =-2 C[ (A-B)- (A+B)] & =-2 C[2 A B] & =-4 A B C. aligned )

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