MHT CET202416 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual
If ⁻¹ ( 12 13 )+ ⁻¹ ( 3 5 )= ⁻¹ P , then the value of P is
Options
- A63 65
- B56 65
- C48 65
- D36 65
Correct answer
B. 56 65
Step-by-step solution
aligned & ⁻¹ ( 3 5 )+ ⁻¹ ( 12 13 ) & = ⁻¹ ( 3 5 )+ ⁻¹ 1- ( 12 13 )^2 & = ⁻¹ ( 3 5 )+ ⁻¹ ( 5 13 ) & = ⁻¹ [ 3 5 1- ( 5 13 )^2 + 5 13 1- ( 3 5 )^2 ] & = ⁻¹ ( 3 5 12 13 + 5 13 4 5 ) & = ⁻¹ ( 56 65 ) aligned P= 56 65