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NDA2019MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ 2 p 1+p^2 - ⁻¹ 1-q^2 1+q^2 = ⁻¹ 2 x 1-x^2 , then what is x equal to ?

Options

  1. Ap+q 1+p q
  2. Bp-q 1+p q
  3. Cp q 1+p q
  4. Dp+q 1-p q

Correct answer

B. p-q 1+p q

Step-by-step solution

⁻¹ 2 p 1+p^2 - ⁻¹ 1-q^2 1+q^2 = ⁻¹ 2 x 1-x^2 aligned & 2 ⁻¹ p -2 ⁻¹ q =2 ⁻¹ x & ⁻¹ p - ⁻¹ q = ⁻¹ x & ⁻¹ p-q 1+p q = ⁻¹ x & x = p-q 1+p q aligned

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