JEE Advanced questions
3844 published questions with worked solutions.
- A real valued function f(x) satisfies the functional equation f(x-y)=f(x)f(y)-f(a-x)f(a+y) where a is a given constant and...
- The system of equations x+y+z= -1, x+ y+z= -1, x+y+ z= -1 has no solution if is
- A circle is given by x^2+(y-1)^2=1. Then the locus of the centre of the circle touching the given circle and the x-axis, is
- Let ( - )=1 and ( + )= 1e, where , [- , ] and e is the exponential number. The number of values of the pair ( , ) satisfying both...Not in JEE Main syllabus
- The value of _ -2 ^ 0 x^3+3x^2+3x+3+(x+1) (x+1) ,dx is
- Let , be roots of the equation ax^2+bx+c=0 and =b^2-4ac. If + , ^2+ ^2, ^3+ ^3 are in GP then
- The number of measures of the angle A for which A, 2A and 3A are in GP, is
- If z_1 and z_2 are two nonzero complex numbers such that |z_1+z_2|=|z_1|+|z_2| then z_1- z_2 is equal to
- If a^2+b^2+c^2+2=0 and f(x)= vmatrix 1+a^2x & (1+b^2)x & (1+c^2)x (1+a^2)x & 1+b^2x & (1+c^2)x (1+a^2)x & (1+b^2)x & 1+c^2x...
- Let and be the distinct roots of ax^2+bx+c=0 then _ n 1- (ax^2+bx+c) (x- )^2 is equal to
- The angle between the lines 2x=3y=-z and 6x=-y=-4z is
- If the angle between the line x+1 1 = y-1 2 = z-2 2 and the plane 2x-y+ z+4=0 is such that = 13 then the value of is
- The tangent to the curve y=x^2+6 at (1,7) touches the circle x^2+y^2+16x+12y+c=0 at the point
- If f(x) is continuous and differentiable function and f ! ( 1n )=0 for all n 1 and n I then
- If f(x) and g(x) are real functions defined by f(x)= cases 0, & x is rational x, & x is irrational cases and g(x)= cases 0, & x...
- The value of _ - ^ ^2x 1+a^x ,dx, a>0 is
- If the pair of lines ax^2+2(a+b)xy+by^2=0 lie along two diameters of the circle x^2+y^2=4 such that the circle is divided into...
- Let A= x x N, x 15 . If 3^m+3^n is divisible by 5 where (m,n) A A then the number of possible values of the ordered pair (m,n) is
- If z_1, z_2 be two nth roots of unity such that they represent two points A, B in the Argand plane where AOB=60^ and O is the...
- If the circle passing through the points (0,0), (1,0) and (0,1) also passes through the point ( , 1 ) then is