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MHT CET202123 Sep 2021Morning ShiftMathematicsProperties of TrianglesActual

In any ABC , with usual notations, c ( a B - b A )=

Options

  1. Aa^2-b^2
  2. B1 a ^2 - 1 ~b ^2
  3. Ca^2+b^2
  4. D1 a ^2 + 1 ~b ^2

Correct answer

A. a^2-b^2

Step-by-step solution

aligned & c(a B-b A) & =a c ( c^2+a^2-b^2 2 a c )-b c ( b^2+c^2-a^2 2 b c ) & = c^2+a^2-b^2 2 - b^2+c^2-a^2 2 = 2 a^2-2 b^2 2 =a^2-b^2 aligned

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