Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main20252 Apr 2025Morning ShiftMathematicsTrigonometric EquationsActual

If [-2 , 2 ] , then the number of solutions of 2 2 ^2 +(2- 6 ) - 3 =0 , is equal to:

Options

  1. A12
  2. B6
  3. C8
  4. D10

Correct answer

C. 8

Step-by-step solution

aligned & 2 2 ^2 +2 - 6 - 3 =0 & (2 - 3 )( 2 +1)=0 & = 3 2 , -1 2 aligned Number of solution =8

Practice Trigonometric Equations on Quantrex Academy →

More from Trigonometric Equations

Match each entry in List-I to the correct entry in List-II and choose the correct option. List-I List-II (P) The number of elements in the set x [- , ] : ^6 x + ^4 x = 1 (1) is 1 ( 2026Passage: Consider the curve C₁ given by y = e^ -x for x [0, 10 ] , and the curve C₂ given by y = e^ -x ( x + x) for x [0, 10 ] . Let n be the total number of points of intersection 2026Let S = (-2 , 2 ) : + 1 = 3 . Then _ S is equal to: 2026If S = [- , ] : 5 2 = 7 7 2 , then n(S) is equal to _______. 2026Let S = x [- , ] : x ( x + x) = a, a Z . Then n(S) is equal to : 2026The number of elements in the set x [0,180^ ]: (x+100^ )= (x+50^ ) x (x-50^ ) is _ _ _ _ . 2026Number of solutions of 3 2 +8 +3 3 =0, [-3 , 2 ] is: 2026The number of solutions of the equation 2 2 + 5 2 =2 ^3 5 2 in [- 2 , 2 ] is : 2025 Full Trigonometric Equations list All JEE Main PYQs