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AP EAMCET2004MathematicsProperties of Triangles

In a A B C, ( B+2 C+3 A 2 )+ ( A-B 2 ) is equal to

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

B. 0

Step-by-step solution

In A B C , gathered A+B+C=1 ( B+2 C+3 A 2 )+ ( A-B 2 ) = ( 2 A+2 B+2 C-B+A 2 )+ ( A-B 2 ) = ( 2 +(A-B) 2 )+ ( A-B 2 ) gathered aligned & = ( + ( A-B 2 ) )+ ( A-B 2 ) & =- ( A-B 2 )+ ( A-B 2 )=0 aligned Alternative As we know in a A B C , gathered A+B+C= ( B+2 C+3 A 2 )+ ( A-B 2 ) =2 ( 2 C+4 A 4 ) ( 2 A+2 B+2 C 4 ) =2 ( C+2 A 2 ) ( 2 )=0 gathered

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