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MHT CET202416 May 2024Morning ShiftMathematicsProperties of TrianglesActual

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

Options

  1. Aa^2+b^2-c^2
  2. Bb^2-a^2+c^2
  3. Cc ^2+ a ^2- b ^2
  4. Da ^2- b ^2- c ^2

Correct answer

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

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