MHT CET20249 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual
The value of ⁻¹ 1 2 ( 9 10 - 9 10 ) is
Options
- A7 20
- B13 20
- C17 20
- D21 20
Correct answer
C. 17 20
Step-by-step solution
aligned & ⁻¹ 1 2 [ ( 9 10 )- ( 9 10 ) ] & = ⁻¹ 1 2 ( ( - 10 )- ( - 10 ) ) & = ⁻¹ 1 2 [- ( 10 )- ( 10 ) ] aligned aligned & = ⁻¹ (-1) [ 1 2 ( 10 )+ 1 2 ( 10 ) ] & = ⁻¹ (-1) [ 4 10 + 4 10 ] aligned aligned & = ⁻¹ (-1) [ ( 4 - 10 ) ] & = ⁻¹ (-1) [ ( 3 20 ) ] & = - ⁻¹ ( 3 20 ) & = - 3 20 & = 17 20 aligned