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MHT CET202525 Apr 2025Evening ShiftMathematicsTrigonometric EquationsActual

The common principal solution of the equations =- 1 2 and = 1 3 is

Options

  1. A6
  2. B5 6
  3. C7 6
  4. D11 6

Correct answer

C. 7 6

Step-by-step solution

The common principal solution in [0, 2 ) satisfies both = - 1 2 and = 1 3 simultaneously. The sine equation has solutions 7 6 and 11 6 , while the tangent equation yields 6 and 7 6 . The intersection is 7 6 , which corresponds to option C. Final answer: C

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