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MHT CET202619 April 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( 4 ) - ⁻¹ ( 3 x ) = 6 then x is a root of the equation

Options

  1. Ax^2 - x - 6 = 0
  2. Bx^2 - x - 12 = 0
  3. Cx^2 + x - 12 = 0
  4. Dx^2 + x - 6 = 0

Correct answer

B. x^2 - x - 12 = 0

Step-by-step solution

Given equation is ⁻¹ ( 4 ) - ⁻¹ ( 3 x ) = 6 Since 4 = 1 , we have: ⁻¹(1) - ⁻¹ ( 3 x ) = 6 2 - ⁻¹ ( 3 x ) = 6 ⁻¹ ( 3 x ) = 2 - 6 = 3 3 x = ( 3 ) = 3 2 Squaring both sides, we get: 3 x = 3 4 x = 4 Substituting x = 4 into the given options, we find that it satisfies the equation x^2 - x - 12 = 0 since 4^2 - 4 - 12 = 16 - 16 = 0 . Answer: x^2 - x - 12 = 0

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