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MHT CET202314 May 2023Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If _ r=1 ⁵⁰ ⁻¹ 1 2 r^2 =p then p is

Options

  1. A100 101
  2. B51 50
  3. C50 51
  4. 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

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