JEE Main202622 January 2026Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The number of solutions of ⁻¹ 4x + ⁻¹ 6x = 6 , where - 1 2 6 < x < 1 2 6 , is equal to

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Correct answer

D. 1

Step-by-step solution

For x (- 1 2 6 , 1 2 6 ) , 24x^2 So ⁻¹(4x) + ⁻¹(6x) = ⁻¹ ( 10x 1-24x^2 ) = 6 . 10x 1-24x^2 = 1 3 24x^2 + 10 3 x - 1 = 0 . x = -10 3 300+96 48 = -5 3 3 11 24 . x₁ = -5 3 +3 11 24 0.054 (valid, lies in range). x₂ = -5 3 -3 11 24 -0.776 (rejected, outside range). Number of solutions = 1 .

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