JEE Advanced questions
3844 published questions with worked solutions.
- If a and b are two perpendicular unit vectors then a ( a b) is equal to
- If z is a nonreal complex number then which of the following may not be real?
- If the difference of the number of arrangements of 3 things from a certain number of dissimilar things and the number of...
- If z = , ^2, where is a nonreal complex cube root of unity, are two vertices of an equilateral triangle in the Argand plane then...
- The order and degree of the differential equation of the family of circles with centres on the y-axis are respectively
- Let f(x) be a periodic function of the period 1 and f ( 12 ) = 12. Let (x) = _0^x f(x + n) ,dx for all n N . Then ' ( 32 ) is...
- If f(x) = [x - 1] + [x + 1] and g(x) = f f(x) then g'(3)
- The equation ^4 + ^2 + = 0 admits of real solutions for if
- The value of ^ -1 ( 2 - 1 2 ) is equal to
- If A + B = 3 and A + B = 1 then (A - B) is
- The number of tangents to the curve y = e^ |x| at the point (0, 1) is
- The function f(x) = ax^3 - 3x^2 - 12x + 1 is monotonic decreasing in the open interval (-1, 2). Then one value of a is
- Let the function f(x) be defined as follows f(x) = cases |x| & for -2 x 2 [x] & for 2 < x 4, cases where [ ] represents the...
- A plane parallel to x + y + z = 3 and at distance 4 3 from it has the equation
- Let (1 + x + x^2 + x^3 + x^4)^ 10 = a_0 + a_1x + a_2x^2 + + a_ 40 x^ 40 . Then
- In the ABC, b : c = 2 : 1 and (B - C) = 35. ThenNot in JEE syllabus
- If f(x) = 1 + x 1 - x then
- The equation of its conjugate hyperbola is
- The equation of the asymptotes of the hyperbola is
- If (a - 1, 2) is a point interior to the hyperbola but exterior to its conjugate hyperbola then the number of positive integral...