JEE Advanced questions
3844 published questions with worked solutions.
- The value of p for which one root of the quadratic equation (p^2-5p+3)x^2+(3p-1)x+2=0 is twice as large as the other, is
- If f(a+b-x)=f(x) then _a^b xf(x) ,dx is equal to
- The number of integral terms in the expansion of ( 3+ [5] 5 )^ 256 is
- ^nC_ r+1 + ^nC_ r-1 +2 ^nC_r is equal to
- A focal chord of the parabola y^2=16x touches the circle (x-6)^2+y^2=2. Then the possible values of the slope of the chord are
- The value of so that the volume of the parallelopiped formed by the vectors i+ j+ k, j+ k and i+ k becomes minimum, is
- The sum of the radii of inscribed and circumscribed circles for an n-sided regular polygon of side a, isNot in JEE syllabus
- If the system of equations x+ay=az+y=ax+z=0 has infinite solutions then a is
- The origin, z_1 and z_2 are the vertices of an equilateral triangle where z_1,z_2 are roots of the equation z^2+az+b=0. Then
- Let f(x)= x^2+x + ^2 x^2+x , (0, 2 ). The value of f(x) is always greater than or equal to
- A function f: N Z is defined by f(n)= cases n-1 2 , & when n is odd [2mm] - n2, & when n is even. cases The function f is
- If f:[0, ) [0, ) and f(x)= x x+1 then f is
- In [0,1] Lagrange's Mean-Value theorem is not applicable to
- If the system of linear equations cases x+2ay+az=0 +3by+bz=0 +4cy+cz=0 cases has a nonzero solution then a,b,c
- If the equation x^2-2x+3=0 has positive roots for some real then
- If ^ 2n C_6 is the greatest coefficient in the expansion of (1+x)^ 2n , n N, then n is
- The lines x-2 1 = y-3 1 = z-4 -k and x-1 k = y-4 2 = z-5 1 are coplanar if k is
- Two gas companies G_1 and G_2, situated at (40,0) and (0,30) respectively (unit of distance = 1 km), offer to install equally...
- If in a ABC, vmatrix A & B & C B & C & A C & A & B vmatrix = 0 then
- , are the roots of x^2 - px + q = 0 and , , are the roots of x^3 - ax^2 + bx - c = 0. Then