MHT CET202121 Sep 2021Morning ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( x-1 x-2 )+ ⁻¹ ( x+1 x+2 )= 4 , then the values of x are

Options

A3 2
B1 2
C1 2
D3 2

Correct answer

C. 1 2

Step-by-step solution

aligned & ⁻¹ ( x-1 x+2 )+ ⁻¹ ( x+1 x+2 )= 4 & ⁻¹ [ ( x-1 x-2 )+ ( x+1 x+2 ) 1- ( x-1 x-2 )+ ( x+1 x+2 ) ]= 4 & (x-1)(x+2)+(x+1)(x-2) (x-2)(x+2)-(x-1)(x+1) = 4 & (x^2+x-2 )+ (x^2-x-2 ) (x^2-4 )- (x^2-1 ) =1 & 2 x^2-4=-3 2 x^2=1 aligned x = 1 2

Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

If y = ⁻¹ ( 1+x^3 + 1-x^3 1+x^3 - 1-x^3 ) then dy dx = 2026 If X = ⁻¹ [2 (2 ⁻¹ 1 2 ) ] + ⁻¹ [ ( 7 6 ) ] and Y = ⁻¹ [ ( 11 6 ) ] + ⁻¹ [ ( 4 3 ) ] then the value of 2X - Y is: 2026 The value of the expression ⁻¹ ( 7 6 ) + ⁻¹ ( 22 3 ) + ⁻¹ ( 4 5 ) is: 2026 Which of the following is the simplest form of the expression ⁻¹ ( 1+x^2 - 1 x ) where x 0 2026 If ⁻¹ x + ⁻¹ y = 2 , then x^2 is equal to 2026 ⁻¹ ( 1 1 + 1 2 ) + ⁻¹ ( 1 1 + 2 3 ) + + ⁻¹ ( 1 1 + n(n+1) ) = 2026 The second order derivative of ⁻¹(4x^3 - 3x) with respect to ⁻¹(2x^2 - 1) , where 1 2 < x < 1 is 2026 If 2 ⁻¹x - 3 ⁻¹x = 4 , then 2 ⁻¹x + 3 ⁻¹x = 2026 Full Inverse Trigonometric Functions list All MHT CET PYQs