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AP EAMCET202017 Sep 2020Evening ShiftMathematicsVector AlgebraActual

In a ( A B C ) (shown in the figure below). State whether the following are true or false (i) ( A B + B C + C A = 0 ) (ii) ( A B + B C - A C = 0 ) (iii) ( A B - C B + C A = 0 ) (iv) ( A B + B C - C A = 0 )

Options

  1. A(i) True (ii) True (iii) True (iv) False
  2. B(i) True (ii) False (iii) True, (iv) False
  3. C(i) False (ii) False (iii) True (iv) True
  4. D(i) False (ii) True (iii) False (iv) False

Correct answer

A. (i) True (ii) True (iii) True (iv) False

Step-by-step solution

Following triangle came, ( array llll & A B + B C = A C & A B + B C + C A =0 (i) and & A B + B C - A C =0 (ii) Also, & C A + A B = C B & C A + A B - C B =0 or & A B - C B + C A =0 (iii) array )

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