Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET201923 Apr 2019Morning ShiftMathematicsTrigonometric EquationsActual

( 5 +2 2 5 +4 4 5 = )

Options

  1. A( 5 )
  2. B( 2 5 )
  3. C( 3 5 )
  4. D( 4 5 )

Correct answer

A. ( 5 )

Step-by-step solution

Given, ( = 5 =36^ ) ( aligned & ( 5 )= 36^ = 5-2 5 & 2 = ( 2 5 )= 2 36^ 1- ^2 36^ & = 2 5-2 5 1-(5-2 5 ) & = 2 5-2 5 2 5 -4 = 5-2 5 5 -2 & Now, ( 4 5 )= 2 ( 2 5 ) 1- ^2 2 5 = 2 5-2 5 5 -2 1- 5-2 5 ( 5 -2)^2 & ( 4 5 )= 1- 5-2 5 ( 5 -2)^2 2 5-2 5 5 -2 & = ( 5 -2)^2-5+2 5 2( 5 -2)( 5-2 5 ) = 5+4-4 5 -5+2 5 2( 5 -2)( 5-2 5 ) & = 4-2 5 2( 5 -2)( 5-2 5 ) = (2- 5 ) ( 5 -2)( 5-2 5 ) & = -1 5-2 5 & aligned ) Now, ( 5 +2 2 5 +4 4 5 ) ( aligned & = 5-2 5 +2 5-2 5 5 -2 - 4 5-2 5 & = 5-2 5 +2 5-2 5 5 -2 5 +2 5 +2 - 4 5-2 5 & =

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