JEE Advanced questions
829 published questions with worked solutions.
- Let a, , R . Consider the system of linear equations ax+2y= 3x-2y= Which of the following statement(s) is(are) correct?
- Let u =u_1 i +u_2 j +u_3 k be a unit vector in R ^3 and w = 1 6 ( i + j +2 k ). Given that there exists a vector v in R ^3 such...
- A flat plate is moving normal to its plane through a gas under the action of a constant force F. The gas is kept at a very low...
- A human body has a surface area of approximately 1 m^2. The normal body temperature is 10 K above the surrounding room...
- For an isosceles prism of angle A and refractive index , it is found that the angle of minimum deviation _m=A. Which of the...
- A drop of liquid of radius R=10^ -2 m having surface tension S= 0.1 4 Nm^ -1 divides itself into K identical drops. In this...
- A stationary source emits sound of frequency f_0=492 Hz. The sound is *reflected* by a large car *approaching* the source with a...
- The correct statement(s) about the oxoacids, HClO_4 and HClO, is(are)
- The colour of the X_2 molecules of group 17 elements changes gradually from yellow to violet down the group. This is due to
- Addition of excess aqueous ammonia to a pink coloured aqueous solution of MCl_2 6H_2O (**X**) and NH_4Cl gives an octahedral...
- A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of 400 pm. If the density of the...
- The conductance of a 0.0015 M aqueous solution of a weak monobasic acid was determined by using a conductivity cell consisting of...
- The sum of the number of lone pairs of electrons on each central atom in the following species is [TeBr_6]^ 2- , [BrF_2]^+ ,...
- Among H_2 , He_2^+ , Li_2 , Be_2 , B_2 , C_2 , N_2 , O_2^- , and F_2 , the number of diamagnetic species is (Atomic numbers: H =...
- If 2x-y+1=0 is a tangent to the hyperbola x^2 a^2 - y^2 16 =1, then which of the following CANNOT be sides of a right angled...
- If a chord, which is not a tangent, of the parabola y^2=16x has the equation 2x+y=p, and midpoint (h,k), then which of the...
- Let [x] be the greatest integer less than or equals to x. Then, at which of the following point(s) the function f(x)=x ( (x+[x]))...
- Let f: R (0,1) be a continuous function. Then, which of the following function(s) has(have) the value zero at some point in the...
- Let a, b, x and y be real numbers such that a-b=1 and y 0. If the complex number z=x+iy satisfies Im ( az+b z+1 )=y, then which...
- Let X and Y be two events such that P(X)= 1 3 , P(X|Y)= 1 2 and P(Y|X)= 2 5 . Then