Most Important Selected Qs for JEE AdvancedMathematicsInverse Trigonometric Functions

Find the sum of squares of the solution of the equation ⁻¹ ( 1-x^2 1+x^2 )= 2 -2 ⁻¹ ( 2 x 1+x^2 )

Correct answer

Step-by-step solution

(i) If x 1,2 ⁻¹ x= 2 -2 ( -2 ⁻¹ x ) 2 ⁻¹ x= -3 2 no solution. (ii) If 0 x < 1,2 ⁻¹ x= 2 -2 (2 ⁻¹ x ) ⁻¹ x= 12 x=2- 3 (iii) If -1 x < 0,-2 ⁻¹ x= 2 -2 (2 ⁻¹ x ) 2 ⁻¹ x= 2 x=1 (not possible) (iv) If x < -1,-2 ⁻¹ x= 2 -2 (- -2 ⁻¹ x ) 6 ⁻¹ x= -5 2 x=-2- 3 Sum of square =14 .

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