JEE Advanced questions
3844 published questions with worked solutions.
- Let c = a + b + , a b where a and b are unit vectors such that a b = 0. Then
- ABC is an isosceles triangle whose vertices A and C have the coordinates (1, 1) and (2, -1) respectively, and AC is one of the...
- A vertical, rectangular, thin wall of length = a metres, height = b metres runs from east to west. A vertical flagstaff of height...
- Which of the following is/are equal to ( u v) w?
- For the vectors a, b, c and d which of the following is/are meaningful if and represent scalar and vector products respectively?
- If a, b, c are three consecutive integers then the determinant vmatrix -a^2 & ab & ac ab & -b^2 & bc ac & bc & -c^2 vmatrix is...
- Let P, A, B, C be four collinear points in order, the distances of A, B, C from P being a, b, c respectively. If the equation...
- If x^2 + px + q is an integer for all integral values of x then
- The equation px^3 - (p+1)x^2 + px = 0 has real roots and p is any positive integer. Then the equation has
- If 4x^2 + 4x + 12 ^2 47 for all x R then can have the value
- Let f(x) = 5a^2 + 4(x-1) - x^2, x R and a is a real constant. If the maximum value of f(x) is 20 then a is
- If A = _0^1 ^ -1 x ,dx and B = _0^1 ^ -1 x ,dx then 2 is equal to
- If f(x) = x - [x] ,| x| where [ ] is the greatest integer function then f(x) is
- Let f(x) be a continuous even periodic function of period a and f(0) = 0. Then
- If in a ABC, a = 3, c = 3 and A = 30^ then the angle B has the measureNot in JEE syllabus
- There are n + 1 identical balls on which the numbers ^ n C_ 0 , ^ n C_ 1 , ^ n C_ 2 , , ^ n C_ n are written, each ball carrying...
- If px^2 + qx + r = 0 has no real roots for real values of p, q, r and 4p + 2q + r > 0 then
- If f(x) = cases 3x^2 + 12x - 1, & x [-1, 2] 37 - x, & x (2, 3] cases then
- P and Q are two points on the curve x^2 + y^2 = a^2, where POQ = 2 , O being the origin. The equation of the tangent to the curve...
- _ n [ 1 n^2 ^2 1 n^2 + 2 n^2 ^2 4 n^2 + 3 n^2 ^2 9 n^2 + + 1 n ^2 1 ] equals