MHT CET20244 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual
If ⁻¹(7)+ ⁻¹(8)+ ⁻¹(18)= ⁻¹ x , then the value of x is
Options
- A1 3
- B2
- C3
- D1 2
Correct answer
C. 3
Step-by-step solution
⁻¹ 7+ ⁻¹ 8+ ⁻¹ 18= ⁻¹ x ⁻¹ ( 1 7 )+ ⁻¹ ( 1 8 )+ ⁻¹ ( 1 18 )= ⁻¹ ( 1 x ) [ ⁻¹ ( 1 x )= ⁻¹ x ] ⁻¹ ( 1 7 + 1 8 1- ( 1 7 ) ( 1 8 ) )+ ⁻¹ ( 1 18 )= ⁻¹ ( 1 x ) aligned & ⁻¹ ( 3 11 )+ ⁻¹ ( 1 18 )= ⁻¹ ( 1 x ) & ⁻¹ ( 3 11 + 1 18 1- ( 3 11 ) ( 1 18 ) )= ⁻¹ ( 1 x ) & x=3 aligned