JEE Advanced questions
3844 published questions with worked solutions.
- Let and be nonzero real numbers such that 2( - )+ =1. Then which of the following is/are true?
- If f: R R is a differentiable function such that f'(x)>2f(x) for all x R , and f(0)=1, then
- Let f(x)= 1-x(1+|1-x|) |1-x| ( 1 1-x ) for x 1. Then
- If f(x)= vmatrix (2x) & (2x) & (2x) - x & x & - x x & x & x vmatrix , then
- If the line x= divides the area of region R= (x,y) R ^2:x^3 y x,0 x 1 into two equal parts, then
- If I= _ k=1 ^ 98 _k^ k+1 k+1 x(x+1) ,dx, then
- The potential energy of a particle of mass m at a distance r from a fixed point O is given by V(r)=kr^2/2, where k is a positive...
- Consider a body of mass 1.0 kg at rest at the origin at time t=0. A force F =( t , i + , j ) is applied on the body, where =1.0...
- A uniform capillary tube of inner radius r is dipped vertically into a beaker filled with water. The water rises to a height h in...
- Two infinitely long straight wires lie in the xy-plane along the lines x= R. The wire located at x=+R carries a constant current...
- Two vectors A and B are defined as A =a , i and B =a ( t , i + t , j ), where a is a constant and = /6 rad s^ -1 . If | A + B |=...
- Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed 1.0 m ,s^ -1 and...
- A ring and a disc are initially at rest, side by side, at the top of an inclined plane which makes an angle 60° with the...
- Sunlight of intensity 1.3 kW ,m^ -2 is incident normally on a thin convex lens of focal length 20 cm. Ignore the energy loss of...
- The correct statement(s) regarding the binary transition metal carbonyl compounds is (are) (Atomic numbers: Fe = 26, Ni = 28)
- Based on the compounds of group 15 elements, the correct statement(s) is (are)
- Among the species given below, the total number of diamagnetic species is _____. H atom, NO_2 monomer, O_2^- (superoxide),...
- The ammonia prepared by treating ammonium sulphate with calcium hydroxide is completely used by NiCl_2.6H_2O to form a stable...
- Consider an ionic solid **MX** with NaCl structure. Construct a new structure (**Z**) whose unit cell is constructed from the...Not in JEE Main or NEET syllabus
- For the electrochemical cell, Mg (s) ,| , Mg^ 2+ (aq,1 M ) , | , Cu^ 2+ (aq,1 M ) ,| , Cu (s) the standard emf of the cell is...