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MHT CET202416 May 2024Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If ⁻¹ ( 1 4 )+ ⁻¹ ( 2 9 )= 1 2 ⁻¹ x , then x is

Options

  1. A1 5
  2. B2 5
  3. C3 5
  4. D4 5

Correct answer

C. 3 5

Step-by-step solution

⁻¹ ( 1 4 )+ ⁻¹ ( 2 9 )= ⁻¹ ( 1 4 + 2 9 1- ( 1 4 ) ( 2 9 ) ) aligned & = ⁻¹ ( 9+8 36-2 ) & = ⁻¹ ( 17 34 ) & = ⁻¹ ( 1 2 ) & = 1 2 ⁻¹ [ 1- ( 1 2 )^2 1+ ( 1 2 )^2 ] aligned [ 2 ⁻¹ x= ⁻¹ ( 1-x^2 1+x^2 ) ] array ll & = 1 2 ⁻¹ ( 3 5 ) & x= 3 5 array

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