JEE Main questions
34495 published questions with worked solutions.
- In the expansion of (9x - 1 3 x )^ 18 , x > 0, if the term independent of x is (221)k, then k is equal to:
- Let P(3cosα, 2sinα), α≠0, be a point on the ellipse x²/9+y²/4=1, Q be a point on the circle x²+y²−14x−14y+82=0 and R be a point...
- Let H : x²/a² − y²/b² = 1 be a hyperbola such that the distance between its foci is 6 and the distance between its directrices is...
- _ 0 x (16 ( x2 ) ^3 ( x2 ) ) is equal to:
- The shortest distance between the lines r= ( 13 i+2 j+ 83 k )+ (2 i-5 j+6 k) and r= (- 23 i- 13 k )+ ( j- k), λ,μ∈ℝ, is:
- If (2 +1, ^2-3 , -1 2 ) is the image of (α, 2α, 1) in the line x-2 3= y-1 2= z1, then the possible value(s) of α is (are)
- Let û and v̂ be unit vectors inclined at an acute angle such that | u v|= 3 2. If A= u+ v+( u v), then λ is equal to:
- Let A = (a,b,c) : a,b,c are non-negative integers and a+b+2c=22 . Then n(A) is equal to:
- The area of the region bounded by the curves x+3y²=0 and x+4y²=1 is equal to:
- Let y=y(x) be the solution of the differential equation dy dx + ( 6x^2+(3x^2+2x^3+4)e^ -2x (x^3+2)(2+e^ -2x ) )y = 2+e^ -2x ,...
- From a month of 31 days, 3 different dates are selected at random. If the probability that these dates are in an increasing A.P....
- Let f(x)= cases e^ x-1 , & x<0 x^2-5x+6, & x 0 cases and g(x)=f(|x|)+|f(x)|. If the number of points where g is not continuous...
- Let A, B be points on the two half-lines x−√3|y|=α, α>0 at a distance of α from their point of intersection P. The line segment...Not in JEE syllabus
- Let A, B and C be the vertices of a variable right angled triangle inscribed in the parabola y²=16x. Let the vertex B containing...
- Let f be a twice differentiable function such that f(x)= _0^x (t-x)dt - _0^x f(t) t ,dt, x∈(−π/2,π/2). Then f''( /6)+12f'(-...
- Match the LIST-I with LIST-II List-I: A. Planck's constant, B. Stopping potential, C. Work function, D. Threshold frequency...
- Two cars A and B are moving in the same direction along a straight line with speeds 100 km/h and 80 km/h, respectively such that...
- At t=0, a body of mass 100 g starts moving under the influence of a force (5î+10ĵ) N. After 2 s its position is (2xî+5yĵ) m. The...
- If x and y coordinates of a projectile as a function of time (t) are given as 24t and 43.6t − 4.9t², respectively, then the angle...
- The height in terms of radius of the earth (R), at which the acceleration due to gravity becomes g/9, where g is acceleration due...