99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions
If _ r=1 ⁵⁰ ⁻¹ 1 2 r^2 =p then p is
Options
- A100 101
- B51 50
- C50 51
- D101 102
Correct answer
C. 50 51
Step-by-step solution
aligned & _ r =1 ⁵⁰ ⁻¹ 1 2 r ^2 = p & _ r =1 ⁵⁰ ⁻¹ ( 2 4 r ^2 )= p & _ r =1 ⁵⁰ ⁻¹ [ (2 r +1)-(2 r -1) 1+(2 r +1)(2 r -1) ]= p & _ r =1 ⁵⁰ [ ⁻¹(2 r +1)- ⁻¹(2 r -1) ]= p & ⁻¹(101)- ⁻¹(1)= p & ⁻¹ ( 101-1 1+101 )= p & 100 102 = p & p = 50 51 aligned