Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202422 May 2024Evening ShiftMathematicsTrigonometric EquationsActual

If +4 +9 =0 and +4 +9 =0 , then 81 (2 -2 )-16 (2 -2 )=

Options

  1. A1+8 ( - )
  2. B( - )
  3. C1-36 ( - )
  4. D1+6 ( - )

Correct answer

A. 1+8 ( - )

Step-by-step solution

From given equations 4 =-( +9 ) ...(i) 4 =-( +9 ) ...(ii) Squaring both sides and adding equations (i) and (ii) aligned & 16 ( ^2 + ^2 )= ( ^2 + ^2 )+81 ( ^2 + ^2 ) & +18( + ) & 16=1+81+18 ( - ) 9 ( - )=-33 & (-33)^2=81 ^2( - ) aligned 1089=81 [1+ (2 -2 ] 2 81 (2 -2 )=2097 ...(iii) From given equations 9 =-( +4 ) ...(iv) 9 =-( +4 ) ...(v) Squaring both sides and adding equations (iv) and (v) aligned & 81 ( ^2 + ^2 )= ( ^2 + ^2 )+16 & ( ^2 + ^2 )+8( + ) & 81=1+16+8 ( - ) ( - )=8 & (2 -2 )=2 ^2( - )-1=127 & Now, 81 (

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