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KCET2024MathematicsInverse Trigonometric Functions

If 2 ⁻¹ x-3 ⁻¹ x=4, x [-1,1] , then 2 ⁻¹ x+3 ⁻¹ x is equal to

Options

  1. A4-6 5
  2. B6 -4 5
  3. C3 2
  4. D0

Correct answer

B. 6 -4 5

Step-by-step solution

2 ⁻¹ x-3 ⁻¹ x=4 5 ⁻¹ x=4+ 3 2 ⁻¹ x= 4+ 3 2 5 = 8+3 10 ....(I) So, 2 ⁻¹ x+3 ⁻¹ x=2 ⁻¹ x+3 ( 2 - ⁻¹ x )=- ⁻¹ x+ 3 2 = -8-3 10 + 3 2 = -8-3 +15 10 = 12 -8 10 = 6 -4 5

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