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AP EAMCET20228 Jul 2022Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

In a A B C, 2 A+ 2 B+ 2 C=

Options

  1. A4 A B C
  2. B2 A B C
  3. C4 A B C
  4. D2 A B C

Correct answer

A. 4 A B C

Step-by-step solution

In A B C, A+B+C= A+B= -C aligned & Now, 2 A+ 2 B+ 2 C & =2 ( 2 A+2 B 2 ) ( 2 A-2 B 2 )+2 C C & =2 (A+B) (A-B)+2 C C aligned aligned & =2 ( -C) (A-B)+2 C C & =2 C[ (A-B)+ C] & =2 C[ (A-B)+ -(A+B) ] & =2 C[ (A-B)- (A+B)] & =2 C 2 A B=4 A B C aligned

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