JEE Advanced questions
3844 published questions with worked solutions.
- If the system of equations x - ky - z = 0, kx - y - z = 0 and x + y - z = 0 has a nonzero solution then the possible values of k...
- For x R, _ x ( x - 3 x + 2 )^ x is equal to
- If the normal to the curve y = f(x) at the point (3, 4) makes an angle 3 4 with the positive x-axis then f'(3) is equal to
- For the equation 3x^2 + px + 3 = 0 (p > 0), if one of the roots is square of the other then p is equal to
- Let f : R R be a function. Define g : R R by g(x) = |f(x)| for all x. Then g is
- For 2 r n, n r + 2 n r-1 + n r-2 is equal to
- If b > a then the equation (x - a)(x - b) = 1 has
- Let f(x) = cases |x| & for 0 < |x| 2 1 & for x = 0. cases Then at x = 0, f has
- Consider the following statements S and R. S: Both x and x are decreasing functions in ( 2 , ). R: If a differentiable function...
- For x > 0, _ x 0 ( x)^ 1/x + ( 1x )^ x is
- Given an isosceles triangle whose inradius is 3. If one of the angles of the triangle is 120^ then the area of the triangle in...Not in JEE syllabus
- Let a = i + 2 j + k, b = i - j + k and c = i + j - k. A vector in the plane of a and b whose projection on c is 1 3 is
- A plane passes through (1, -2, 1) and is perpendicular to the planes 2x - 2y + z = 0 and x - y + 2z = 4. Then the distance of...
- If a hyperbola passes through the focus of the ellipse x^2 25 + y^2 16 = 1 and its transverse and conjugate axes coincide with...
- More than one may match with the same. Column I: (i) _0^ /2 ( x)^ x x x - ( x)^ x ,dx (ii) The area bounded by -4y^2 = x and x -...
- If the roots of the equation x^2 - 10cx - 11d = 0 are a, b and those of x^2 - 10ax - 11b = 0 are c, d then the positive value of...
- In the binomial expansion of (a-b)^n (n 5), the sum of the 5th and 6th terms is zero. Then a b is equal to
- Let f(x) = (1+b^2)x^2 + 2bx + 1 and m(b) the minimum value of f(x) for a given b. As b varies, the range of m(b) is
- The number of distinct real roots of vmatrix x & x & x x & x & x x & x & x vmatrix = 0 in the interval - 4 x 4 is
- Let E = 1, 2, 3, 4 and F = 1, 2 . Then the number of onto functions from E to F is