JEE Main 2022 Mathematics question

MathematicsInverse Trigonometric FunctionsJEE Main 2022

For k R, let the solution of the equation , 0 < |x| < . Inverse trigonometric functions take only principal values. If the solutions of the equation − bx − 5 = 0 are and , then is equal to

Answer: 12

Solution

and , so the equation becomes . Squaring, , so and the two solutions are

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Question ID VK-034436