JEE Advanced questions
3844 published questions with worked solutions.
- If A = (x, y) x^2 + y^2 4 and B = (x, y) (x-3)^2 + y^2 4 and the point P (a, a - 12 ) belongs to the set B - A then the set of...
- The graph of the curve x^2 + y^2 - 2xy - 8x - 8y + 32 = 0 falls wholly in
- If , be two angles belonging to the interval [0, 4 ] such that + = 2 then the number of possible values of the pair ( , ) isNot in JEE Main syllabus
- If f(x) is a monotonic increasing function and a R then
- The number of divisors of the form 2n - 1 (n 2) of the number 2^p ,3^q ,4^r ,5^s, where p, q, r, s belong to N, is
- If the vertices of a triangle are such that the coordinates of the orthocentre as well as the circumcentre are integers then the...
- ^8 - 4 ^6 + 6 ^4 - 4 ^2 + 1 is equal to
- A vertical wall running from south to north has the height a. A policeman of height b ,(> a) is standing in front of the wall at...
- If z = 1 + i , - 2 < < 0 then |z| is equal to
- C_1, C_2, C_3, is a sequence of circles such that C_ n+1 is the director circle of C_n. If the radius of C_1 is a then the area...
- The value of _0^ 3 /4 1 - 2x ,dx is
- y^2 = 4x is a curve and P, Q, R are three points on it where P = (1, 2), Q = ( 14, 1 ) and the tangent to the curve at R is...
- If the real-valued function f(x) = x^3 + 3(a^2 - 1)x + 1 be invertible then the set of possible real values of a is
- Let P(4, 1, ) and Q(2, -1, ) be two points. A line having direction ratios 1, -1, 6 is perpendicular to the plane passing through...
- The slope of the tangent to the curve x = y at the point y = ^ -1 (-2) is
- _ n 1n [n] e + [n] e^2 + [n] e^3 + + [n] e^n is equal to
- _0^1 ^ -1 x ,dx is equal to
- If a, b and c are unit vectors and the angles between a, b; b, c and c, a are 6 , 3 and 4 respectively then | a + b + c| is
- _0^a f(x) ,dx + _0^a f(2a - x) ,dx is equal to
- Five horses are in a race. A man selects two of them at random and bets on them. All the horses have equal chances of winning....