Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET202120 Sep 2021Morning ShiftMathematicsTrigonometric EquationsActual

If x (0, 2 ) and x satisfies the equation x x= 1 4 , then the values of x are

Options

  1. A12 , 5 12
  2. B8 , 3 8
  3. C8 , 4
  4. D6 , 12

Correct answer

A. 12 , 5 12

Step-by-step solution

aligned & x x= 1 4 & 2 x x= 2 4 = 1 2 2 x= 1 2 = 30^ & 2 x=30^ = 6 x= 12 & x= 2 12 x= 2 + 12 or x= 2 - 12 & x= 7 12 or 5 12 x= 12 , 12 [ x (0, 2 ) ] 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 MHT CET PYQs