MHT CET202121 Sep 2021Evening ShiftMathematicsInverse Trigonometric FunctionsActual
If ⁻¹ ( 3 5 )+ ⁻¹ ( 12 13 )= ⁻¹ , then =
Options
- A56 65
- B61 65
- C63 65
- D62 65
Correct answer
A. 56 65
Step-by-step solution
We have ⁻¹ ( 3 5 )+ ⁻¹ ( 12 13 )= ⁻¹ aligned & ⁻¹ ( 3 4 )+ ⁻¹ ( 5 12 )= ⁻¹ ( 1- ^2 ) & ⁻¹ [ ( 3 4 )+ ( 5 12 ) 1- ( 3 4 ) ( 5 12 ) ]= ⁻¹ ( 1- ^2 ) & ⁻¹ [ ( 14 12 ) ( 11 16 ) ]= ⁻¹ ( 1- ^2 ) & 56 33 = 1- ^2 (56)^2(1- )^2=(33)^2 ^2 & ^2= (56)^2 (56)^2+(33)^2 = (56)^2 (65)^2 = 56 65 aligned