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MHT CET202620 April 2026Evening ShiftMathematicsInverse Trigonometric FunctionsActual

If 2 ⁻¹x - 3 ⁻¹x = 4 , then 2 ⁻¹x + 3 ⁻¹x =

Options

  1. A6 - 4 5
  2. B6 + 4 5
  3. C5 - 4 6
  4. D5 + 4 6

Correct answer

A. 6 - 4 5

Step-by-step solution

Let E = 2 ⁻¹x + 3 ⁻¹x Given 2 ⁻¹x - 3 ⁻¹x = 4 Adding the two equations, we get: 4 ⁻¹x = E + 4 ⁻¹x = E + 4 4 Subtracting the second equation from the first, we get: 6 ⁻¹x = E - 4 ⁻¹x = E - 4 6 Using the identity ⁻¹x + ⁻¹x = 2 : E + 4 4 + E - 4 6 = 2 3(E + 4) + 2(E - 4) 12 = 2 5E + 4 12 = 2 5E + 4 = 6 E = 6 - 4 5 Answer: 6 - 4 5

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