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MHT CET202311 May 2023Evening ShiftMathematicsTrigonometric EquationsActual

If the general solution of the equation 3 x-1 3 x+1 = 3 is x= n p + 7 q , n , p , q , Z , then p q is

Options

  1. A12
  2. B1 12
  3. C3
  4. D36

Correct answer

B. 1 12

Step-by-step solution

aligned & 3 x-1 3 x+1 = 3 & 3 x- 4 1+( 3 x) ( 4 ) = 3 & (3 x- 4 )= ( 3 ) & 3 x- 4 =n + 3 aligned aligned & 3 x= n + 3 + 4 & 3 x= n + 7 12 & x= n 3 + 7 36 & aligned Comparing with n p + 7 q , we get aligned & p =3, q =36 & p q = 3 36 = 1 12 aligned

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