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MHT CET202122 Sep 2021Morning ShiftMathematicsProperties of TrianglesActual

If in ABC , with usual notations, the angles are in A.P., then a c 2 C+ c a 2 A=

Options

  1. A1 2
  2. B3
  3. C2 3
  4. D3 2

Correct answer

B. 3

Step-by-step solution

Angles A, B, C of A B C are in A.P. aligned & B=60^ A =+ C =120^ & Also a A = b B = c C & a = k A & c = k C & a c 2 C + c a 2 ~A & = k A k C (2 C C )+ k C k A (2 A A ) & =2 A C +2 A C =2( A C + A C ) & =2 ( A + C )=2 (120^ )=2 ( 3 2 )= 3 aligned

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