Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA2010MathematicsInverse Trigonometric FunctionsActual

If ⁻¹ 5 x + ⁻¹ 12 x = 2 , then what is the value of x ?

Options

  1. A1
  2. B7
  3. C13
  4. D17

Correct answer

C. 13

Step-by-step solution

aligned & ⁻¹ = - ⁻¹ 12 x & ⁻¹ = ⁻¹ 12 x aligned aligned & or ⁻¹ x^2-25 -x = ⁻¹ 12 x & or x-25 -x = 12 x & or x^2=169 x=13 aligned

Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

Consider the following in respect of inverse circular functions : I. ⁻¹(-x)=- ⁻¹x II. ⁻¹(-x)= ⁻¹x III. ⁻¹(-x)= - ⁻¹x IV. ⁻¹(-x)= - ⁻¹x How many of the above are correct ? 2026What is [2 ⁻¹ 1 2 - 4 ] equal to ? 2026If ⁻¹k + ⁻¹ 1 2 = 4 , then what is the value of k ? 2025What is the value of [ 1 2 ⁻¹ ( 2 3 ) ] ? 2025Consider the following for the two (02) items that follow: Let y = ⁻¹ (x - 4x^3 27 ) . What is y equal to? 2025If k is a root of x^2 - 4x + 1 = 0 , then what is ⁻¹k + ⁻¹ 1 k equal to? 2025What is ⁻¹ 9 + cosec ⁻¹ ( 41 4 ) equal to? 2025What is ^2 ( ⁻¹ 2 )+ ^2 ( cosec ⁻¹ 3 ) equal to? 2024 Full Inverse Trigonometric Functions list All NDA PYQs