Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202420 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

If ⁻¹ 2 x+ ⁻¹ 3 x= 3 and 4 x^2= a b then a+b=

Options

  1. A12
  2. B11
  3. C31
  4. D10

Correct answer

D. 10

Step-by-step solution

⁻¹ 3 x= 3 - ⁻¹ 2 x aligned & 3 x= 3 2 x+ 3 1-4 x^2 & 2 x= 3 2 1-4 x^2 & 16 x^2=3 (1-4 x^2 ) & 28 x^2=3 4 x^2= 3 7 = a b & a=3, b=7 & a+b=10 aligned

Practice Trigonometric Equations on Quantrex Academy →

More from Trigonometric Equations

Suppose ' a ' and ' b ' are non-zero constants satisfying the following system of equations a ^3 x + b ^3 x = x x and a x - b x = 0 , then 2(a^6 + b^6) - 3(a^4 + b^4) + 1 = 2026The number of common solutions of the pair of equations 2 ^2 - 2 ^2 + 1 = 0 and 2 ^2 + 3 - 2 = 0 in the interval [0, 2 ] , is 2026The general solution of x + x = 2x + 2x is x = np or x = nq 3 + 6 for n Z then p : q = 2026Let x [0, 6 ] satisfy the equation x - x = -1 . If x = k ( 3 ) where k N , then find the number of possible values of k is ..... 2026If the equation 3 - ^2 = 1 4 and [0, ] , then the number of solutions is... 2026The general solution of the equation 2 = 1 is... 2026If 0 x 2 , then the number of values of x for which x - 2x + 3x = 0 is 2026If 4 - 2 = 2 , then = 2026 Full Trigonometric Equations list All AP EAMCET PYQs