Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET20242 May 2024Morning ShiftMathematicsInverse Trigonometric FunctionsActual

Considering only the principal values of inverse function, the set A= x 0, ⁻¹(2 x)+ ⁻¹(3 x)= 4

Options

  1. Ais an empty set.
  2. Bis a singleton set.
  3. Ccontains more than two elements.
  4. Dcontains two elements.

Correct answer

B. is a singleton set.

Step-by-step solution

aligned & ⁻¹(2 x)+ ⁻¹(3 x)= 4 & ⁻¹ [ 2 x+3 x 1-(2 x)(3 x) ]= 4 & 5 x 1-6 x^2 = 4 =1 & 6 x^2+5 x-1=0 & (x+1)(6 x-1)=0 & x=-1 or x= 1 6 & But, x 0 & x= 1 6 & ~A is a singleton set. aligned

Practice Inverse Trigonometric Functions on Quantrex Academy →

More from Inverse Trigonometric Functions

If y = ⁻¹ ( 1+x^3 + 1-x^3 1+x^3 - 1-x^3 ) then dy dx = 2026If X = ⁻¹ [2 (2 ⁻¹ 1 2 ) ] + ⁻¹ [ ( 7 6 ) ] and Y = ⁻¹ [ ( 11 6 ) ] + ⁻¹ [ ( 4 3 ) ] then the value of 2X - Y is: 2026The value of the expression ⁻¹ ( 7 6 ) + ⁻¹ ( 22 3 ) + ⁻¹ ( 4 5 ) is: 2026Which of the following is the simplest form of the expression ⁻¹ ( 1+x^2 - 1 x ) where x 0 2026If ⁻¹ x + ⁻¹ y = 2 , then x^2 is equal to 2026⁻¹ ( 1 1 + 1 2 ) + ⁻¹ ( 1 1 + 2 3 ) + + ⁻¹ ( 1 1 + n(n+1) ) = 2026The second order derivative of ⁻¹(4x^3 - 3x) with respect to ⁻¹(2x^2 - 1) , where 1 2 < x < 1 is 2026If 2 ⁻¹x - 3 ⁻¹x = 4 , then 2 ⁻¹x + 3 ⁻¹x = 2026 Full Inverse Trigonometric Functions list All MHT CET PYQs