BITSAT2015MathematicsInverse Trigonometric FunctionsActual
If ⁻¹ x- ⁻¹ y 2 = , then 4 x²-4 x y +y² is equal to
Options
- A2 2
- B4
- C4 ²
- 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