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MHT CET202314 May 2023Morning ShiftMathematicsProperties of TrianglesActual

In ABC , with usual notations, 2 ac ( 1 2 ( ~A - B + C ) ) is equal to

Options

  1. Aa^2+b^2-c^2
  2. Bc^2+a^2-b^2
  3. Cb^2-c^2-a^2
  4. Dc^2-a^2-b^2

Correct answer

B. c^2+a^2-b^2

Step-by-step solution

aligned 2 ac A - B + C 2 & =2 ac -2 ~B 2 & =2 ac B aligned =2 ac c ^2+ a ^2- b ^2 2 ca ....[By cosine rule ]=c^2+a^2-b^2

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