Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
99 Percentile Qs Bank for JEE MainMathematicsTrigonometric Equations

The smallest positive root of the equation x-x=0 lies in the interval

Options

  1. A(0, 2 )
  2. B( 2 , )
  3. C( , 3 2 )
  4. D( 3 2 , 2 )

Correct answer

C. ( , 3 2 )

Step-by-step solution

Here, x-x=0 x=x Clearly smallest positive root lies in the interval ( , 3 2 ) .

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 99 Percentile Qs Bank for JEE Main PYQs