Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2015MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ x- ⁻¹ y 2 = , then 4 x²-4 x y +y² is equal to

Options

  1. A2 2
  2. B4
  3. C4 ²
  4. D-4 ²

Correct answer

C. 4 ²

Step-by-step solution

⁻¹ x- ⁻¹ y 2 = ⁻¹ ( x y 2 + (1-x² ) (1- y² 4 ) )= ⁻¹ ( x y+ 4-y²-4 x²+x² y² 2 )= 4 x²+y²-4 x y =4 ²

Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

If ( ⁻¹ x )= ⁻¹ ( a b^2-a^2 ) b a , then x = 2024If ⁻¹ ( 1 2 )= ( ⁻¹ x ) , then the value of x is 2024The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 is 2023⁻¹ ( 1 4 )+ ⁻¹ ( 2 9 ) is equal to 2023If x (0, 2 ) then the value of ⁻¹ ( 7 2 (1+ 2 x)+ ( ^2 x-48 ^2 x ) x ) is equal to 2022The value of (2 ⁻¹ x+ ⁻¹ x ) at x= 1 5 is 2021∑ m = 1 n tan - 1 2 m m 4 + m 2 + 2 is equal to 2019If sin - 1 x + tan - 1 x = π / 2 , then 2 x 2 + 1 = 2019 Full Inverse Trigonometric Functions list All BITSAT PYQs