JEE Main questions
34495 published questions with worked solutions.
- If the four complex number z, z , z -2Re( z ) and z-2Re(z) represent the vertices of a square of side 4 units in the Argand...
- The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute...
- If (a, b, c) is the image of the point (1, 2, – 3) in the line, x+1 2 = y-3 -2 = z -1 , then a + b + c is equal to
- The value of _ - /2 ^ /2 1 1+e^ x dx is
- If 2^ 10 +2^9 3^1+2^8 3^2+ +2 3^9+3^ 10 =S-2^ 11 , then S is equal to :
- If the co-ordinates of two points A and B are ( 7 ,0) and (- 7 ,0) respectively and P is any point on the conic, 9x^2+16y^2=144,...
- If is the positive root of the equation, p(x)=x^2-x-2=0, then _ x ^+ 1- (p(x)) x+ -4 is equal to
- Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five,...
- If the line. 2x – y + 3 = 0 is at a distance 1 5 and 2 5 from the lines 4x – 2y + = 0 and 6x – 3y + = 0, respectively, then the...
- The natural number m, for which the coefficient of x in the binomial expansion of (x^m+ 1 x^2 )^ 22 is 1540, is _______.
- The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word...
- Let f(x)=x [ x 2 ], for – 10 < x < 10, where [t] denotes the greatest integer function. Then the number of points of...
- A parallel plate capacitor has plate of length ' ', width 'w' and separation of plates is 'd'. It is connected to a battery of...
- An iron rod of volume 10^ -3 m ^3 and relative permeability 1000 is placed as core in a solenoid with 10 turns/cm. If a current...
- The acceleration due to gravity on the earth's surface at the poles is g and angular velocity of the earth about the axis passing...
- A driver in a car, approaching a vertical wall notices that the frequency of his car horn, has changed from 440 Hz to 480 Hz,...
- In an adiabatic process, the density of a diatomic gas becomes 32 times its initial value. The final pressure of the gas is found...
- A radioactive nucleus decays by two different processes. The half life for the first process is 10 s and that for the second is...
- Two different wires having lengths L_1 and L_2, and respective temperature coefficient of linear expansion _1 and _2, are joined...
- The quantities x= 1 _0 _0 , y= E B and z= 1 CR are defined where C-capacitance, R-Resistance, -length, E-Electric field,...