JEE Advanced questions
829 published questions with worked solutions.
- For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordinate axes have exactly three common points?
- Let f: R R be a differentiable function such that f(0)=0, f ( 2 )=3 and f'(0)=1. If g(x)= _x^ 2 [f'(t) cosec t- t cosec t ,f(t)]...
- For a real number , if the system bmatrix 1 & & ^2 & 1 & ^2 & & 1 bmatrix bmatrix x y z bmatrix = bmatrix 1 -1 1 bmatrix of...
- A rocket is launched normal to the surface of the Earth, away from the Sun, along the line joining the Sun and the Earth. The Sun...
- A person measures the depth of a well by measuring the time interval between dropping a stone and receiving the sound of impact...
- The instantaneous voltages at three terminals marked X, Y and Z are given by V_X=V_0 t, V_Y=V_0 ( t+ 2 3 ) and V_Z=V_0 ( t+ 4 3...
- The standard state Gibbs free energies of formation of C(graphite) and C(diamond) at T = 298 K are _fG^o[ C(graphite) ]=0 kJ mol...
- Which of the following combination will produce H_2 gas?
- The order of the oxidation state of the phosphorus atom in H_3PO_2 , H_3PO_4 , H_3PO_3 , and H_4P_2O_6 is
- For a reaction taking place in a container in equilibrium with its surroundings, the effect of temperature on its equilibrium...
- In a bimolecular reaction, the steric factor P was experimentally determined to be 4.5. The correct option(s) among the following...
- The option(s) with only amphoteric oxides is(are)
- The equation of the plane passing through the point (1,1,1) and perpendicular to the planes 2x+y-2z=5 and 3x-6y-2z=7, is
- Let O be the origin and let PQR be an arbitrary triangle. The point S is such that OP OQ + OR OS = OR OP + OQ OS = OQ OR + OP OS...
- If y=y(x) satisfies the differential equation 8 x ( 9+ x )dy= ( 4+ 9+ x )^ -1 dx, x>0 and y(0)= 7 , then y(256)=
- If f: R R is a twice differentiable function such that f''(x)>0 for all x R , and f ( 1 2 )= 1 2 , f(1)=1, then
- Three randomly chosen nonnegative integers x, y and z are found to satisfy the equation x+y+z=10. Then the probability that z is...
- 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