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99 Percentile Qs Bank for JEE MainMathematicsInverse Trigonometric Functions

If ⁻¹ 1 5 + 1 2 ⁻¹ x+ ⁻¹ 1 8 = 8 , then x^2=

Options

  1. A12 7
  2. B50 49
  3. C13 12
  4. D1 2

Correct answer

B. 50 49

Step-by-step solution

We have, array r ⁻¹ 1 5 + 1 2 ⁻¹ x+ ⁻¹ 1 8 = 8 ( ⁻¹ 1 5 + ⁻¹ 1 8 )+ 1 2 ⁻¹ x= 8 array ⁻¹ [ 1 5 + 1 8 1- 1 5 1 8 ]+ 1 2 ⁻¹ x= 8 array ll & ⁻¹ 13 39 + 1 2 ⁻¹ x= 8 & 2 ⁻¹ 13 39 + ⁻¹ x= 4 & 2 ⁻¹ 1 3 + ⁻¹ x= 4 & ⁻¹ 2 3 1- 1 9 + ⁻¹ x= 4 & ⁻¹ 3 4 + ⁻¹ x= 4 array array rr & ⁻¹ 3 4 + ⁻¹ x^2-1 = 4 & ⁻¹ [ 3 4 + x^2-1 1- 3 4 x^2-1 ]= 4 array array cc & 3+4 x^2-1 4-3 x^2-1 =1 & 3+4 x^2-1 =4-3 x^2-1 7 x^2-1 =1 & x^2-1 = 1 7 x^2-1= 1 49 x^2= 50 49 array

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