JEE Advanced questions
579 published questions with worked solutions.
- If the freezing point of a 0.01 molal aqueous solution of a cobalt(III) chloride-ammonia complex (which behaves as a strong...
- The correct statement(s) about Cr^ 2+ and Mn^ 3+ is(are) [Atomic numbers of Cr = 24 and Mn = 25]
- Copper is purified by electrolytic refining of blister copper. The correct statement(s) about this process is (are)
- Fe^ 3+ is reduced to Fe^ 2+ by using
- If the unit cell of a mineral has cubic close packed (*ccp*) array of oxygen atoms with ***m*** fraction of octahedral holes...
- The number of distinct solutions of the equation 5 4 ^2 2x+ ^4x+ ^4x+ ^6x+ ^6x=2 in the interval [0,2 ] is
- The minimum number of times a fair coin needs to be tossed, so that the probability of getting at least two heads is at least...
- If the normals of the parabola y^2=4x drawn at the end points of its latus rectum are tangents to the circle (x-3)^2+(y+2)^2=r^2,...
- Let f: R R be a function defined by f(x)= cases [x], & x 2 0, & x>2 cases , where [x] is the greatest integer less than or equal...
- A cylindrical container is to be made from certain solid material with the following constraints: It has a fixed inner volume of...
- Let X and Y be two arbitrary, 3 3, non-zero, skew-symmetric matrices and Z be an arbitrary 3 3, non-zero, symmetric matrix. Then...
- Which of the following values of satisfy the equation vmatrix (1+ )^2 & (1+2 )^2 & (1+3 )^2 (2+ )^2 & (2+2 )^2 & (2+3 )^2 (3+ )^2...
- In R ^3, consider the planes P_1:y=0 and P_2:x+z=1. Let P_3 be a plane, different from P_1 and P_2, which passes through the...
- In R ^3, let L be a straight line passing through the origin. Suppose that all the points on L are at a constant distance from...
- Let P and Q be distinct points on the parabola y^2=2x such that a circle with PQ as diameter passes through the vertex O of the...
- Let y(x) be a solution of the differential equation (1+e^x)y'+ye^x=1. If y(0)=2, then which of the following statements is (are)...
- Consider the family of all circles whose centers lie on the straight line y=x. If this family of circles is represented by the...
- Let g: R R be a differentiable function with g(0)=0, g'(0)=0 and g'(1) 0. Let f(x)= cases x |x| g(x), & x 0 0, & x=0 cases and...
- Let f(x)= ( 6 ( 2 x ) ) for all x R and g(x)= 2 x for all x R . Let (f g)(x) denote f(g(x)) and (g f)(x) denote g(f(x)). Then...
- Let PQR be a triangle. Let a = QR , b = RP and c = PQ . If | a |=12, | b |=4 3 and b c =24, then which of the following is (are)...