JEE Advanced questions
3844 published questions with worked solutions.
- A composite number is selected at random from the first 30 natural numbers and it is divided by 5. The probability that there...
- In a ABC the sides b,c and the angle B are given such that a has two values a_1,a_2. Then |a_1-a_2| is equal toNot in JEE syllabus
- If f:(3,4) (0,1) is defined by f(x)=x-[x] where [x] denotes the greatest integer function then f^ -1 (x) is
- Let f(x)=[4+3 x], x (- 2, 2 ), where [x]= greatest integer less than or equal to x. The number of points of discontinuity of f(x)...
- Let f(x) = 1 - (1-x)^2, x 1. The number of solutions of the equation f f(x) = x is
- If p^x = q^w = a and q^y = p^z = b then
- If 2 - 1 = 0 and 2 + 3 = 0 then the general values of are given byNot in JEE Main syllabus
- The angle between the straight lines joining the point (-1, 0) to the common points of 3x^2 + 5xy - 3y^2 + 8x + 8y + 5 = 0 and 3x...
- If x + y = p is a tangent to the circle x^2 + y^2 = 2q(x + y ) then the set of possible values of p is
- f and g are two functions such that (fg)(x) = (gf)(x) for all x. Then f and g may be defined as
- If the parabola y = ax^2 - 6x + b passes through (0, 2) and has its tangent at x = 32 parallel to the x-axis then
- If f(x) = 1 + x , x > 0, then f(x) f'(x) is equal to
- If in a ABC, 4 A + 3 = 0 then A 2 and A 2 are the roots ofNot in JEE syllabus
- If a, b, c are in AP and one root of the equation ax^2 + bx + c = 0 is 2 then the other root is
- The number of solutions of [ x] + | x| = 1 in x 3 isNot in JEE Main syllabus
- A variable line x a + y b = 1 is drawn through the point (k, 2k) so as to form a triangle of area A. If a, b are of the same sign...
- If the set A = x ; | ; x > 0 then which of the following intervals is a subset of A?Not in JEE Main syllabus
- If (0, 2 ) then the value of ( - 4 ) lies in the interval
- If the coordinates of two vertices and the orthocentre of a triangle are integers then the coordinates of the third vertex must be
- Let PQR be a right-angled triangle, right angled at P(2, 1). If the equation of the line QR is 2x + y = 3 and Q = (2, -1) then...