Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2004MathematicsTrigonometric Equations

The value of the series 12^ + 84^ + 132^ + 156^ is

Options

  1. A1 2
  2. B1 4
  3. C-1 4
  4. D-1 2

Correct answer

D. -1 2

Step-by-step solution

We have, aligned & 12^ + 84^ + 132^ + 156^ = & 132^ + 12^ + 156^ + 84^ = & 2 72^ 60^ +2 120^ 36^ = & 2 ( 5 -1 4 ) 1 2 +2 ( -1 2 ) ( 5 +1 4 ) = & 5 -1 4 - 5 +1 4 =- 2 4 = & - 1 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 AP EAMCET PYQs