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MHT CET20249 May 2024Evening ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If A , B , C are the angles of a triangle with A 2 = 1 3 , B 2 = 2 3 then the value of C 2 is

Options

  1. A-7 9
  2. B7 9
  3. C9 7
  4. D-9 7

Correct answer

B. 7 9

Step-by-step solution

aligned & A+B+C= & ( A+B 2 )= ( 2 - C 2 ) & A 2 + B 2 1- A 2 B 2 = C 2 & 1 3 + 2 3 1- ( 1 3 ) ( 2 3 ) = C 2 aligned aligned & 9 7 = C 2 & C 2 = 7 9 aligned

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