JEE Main questions
34495 published questions with worked solutions.
- The coefficient of x² in the expansion of (2x^2+ 1x )^ 10 , x≠0, is:
- The probabilities that players A and B of a team are selected for the captaincy for a tournament are 0.6 and 0.4, respectively....
- A box contains 5 blue, 6 yellow and 4 red balls. The number of ways, of drawing 8 balls containing at least two balls of each...
- Let the point P be the vertex of the parabola y=x²−6x+12. If a line passing through the point P intersects the circle...
- Let the directrix of the parabola P : y²=8x, cut the x-axis at the point A. Let B(α,β), α>1, be a point on P such that the slope...
- Let the eccentricity e of a hyperbola satisfy the equation 6e²−11e+3=0. If the foci of the hyperbola are (3,5) and (3,−4), then...
- Let a triangle PQR be such that P and Q lie on the line x+3 8= y-4 2= z+1 2 and are at a distance of 6 units from R(1,2,3). If...
- If the distance of the point (a,2,5) from the image of the point (1,2,7) in the line x1= y-1 1= z-2 2 is 4, then the sum of all...
- Let O be the origin, OP = a and OQ = b. If R is the point on OP such that OP =5 OR , and M is the point such that OQ =5 RM , then...
- Let f(x)= _ y 0 (1- (xy)) (xy) y^3 . Then the number of solutions of the equation f(x)=sinx, x∈ℝ is:
- Let (2^(1−a)+2^(1+a)), f(a), (3^a+3^(−a)) be in A.P. and α be the minimum value of f(a). Then the value of the integral _ _e( -1)...
- Let f : [1,∞) → ℝ be a differentiable function defined as f(x)= _1^x f(t)dt+(1-x)( _ex-1)+e. Then the value of f(f(1)) is:
- Let A= 1,4,7 and B= 2,3,8 . Then the number of elements, in the relation R= ((a₁,b₁),(a₂,b₂))∈((A×B)×(A×B)) : a₁+b₂ divides a₂+b₁...
- From the point (−1,−1), two rays are sent making angles of 45° with the line x+y=0. These rays get reflected from the mirror...
- If S= [- , ] : 5 2= 7 7 2 , then n(S) is equal to _______.Not in JEE Main syllabus
- Let f : ℝ → ℝ be a function such that f(x)+3f(π/2−x)=sinx, x∈ℝ. Let the maximum value of f on ℝ be α. If the area of the region...
- Let y=y(x) be the solution of the differential equation ( x)^ 1/2 dy=( ^3x-( x)^ 3/2 y)dx, 0<x< 2, y ( 4 )= 6 2 5. If y ( 3 )= 45...
- Match List-I with List-II. List-I: A. Meter (L), B. Second (S), C. Kilogram (M), D. Kelvin (K). List-II: I. √(hc/G), II....
- In an experiment to determine the resistance of a given wire using Ohm's law, the voltmeter and ammeter readings are noted as 10...
- A mass of 1 kg is kept on an inclined plane with 30° inclination with respect to horizontal plane and it is at rest initially....