MHT CET202311 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual
If ⁻¹ p + ⁻¹ 1- p + ⁻¹ 1- q = 3 4 , then q
Options
- A1 2
- B1 2
- C1
- D1 3
Correct answer
A. 1 2
Step-by-step solution
aligned & ⁻¹ p - ⁻¹ 1- p + ⁻¹ 1- q = 3 4 & Let t = ⁻¹ p & p = ^2 t & p =1- ^2 t & t = 1- p & t = ⁻¹ 1- p aligned ⁻¹ p = ⁻¹ 1- p Given equation becomes ⁻¹ 1-p - ⁻¹ 1-p + ⁻¹ 1-q = 3 4 2 + ⁻¹ 1-q = 3 4 [ ⁻¹ a+ ⁻¹ a= 2 ] array ll & ⁻¹ 1-q = - 4 & 1-q = (- 4 ) & q=1- 1 2 & q= 1 2 array