JEE Main questions
34568 published questions with worked solutions.
- The range of the function, f(x)= _ 5 (3+ ( 3 4 +x )+ ( 4 +x )+ ( 4 -x )- ( 3 4 -x ) ) is :
- Let a_1, a_2,......,a_ 21 be an AP such that _ n=1 ^ 20 1 a_na_ n+1 = 4 9 . If the sum of this AP is 189, then a_6a_ 16 is equal...
- Let be the acute angle between the tangents to the ellipse x^2 9 + y^2 1 =1 and the circle x^2+y^2=3 at their point of...
- Let X be a random variable with distribution. x: –2, –1, 3, 4, 6 P(X=x): 1/5, a, 1/3, 1/5, b If the mean of X is 2.3 and variance...
- If for the complex numbers z satisfying |z-2-2i| 1, the maximum value of |3iz+6| is attained at a + ib, then a + b is equal to...
- Let the points of intersections of the lines x – y + 1 = 0, x – 2y + 3 = 0 and 2x – 5y + 11 = 0 are the mid points of the sides...
- All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing...
- If the sum of the coefficients in the expansion of (x+y)^n is 4096, then the greatest coefficient in the expansion is _________.
- Let a =2 i - j +2 k and b = i +2 j - k .r Let a vector v be in the plane containing a and b . If v is perpendicular to the vector...
- Let [t] denote the greatest integer t. The number of points where the function f(x)=[x]|x^2-1|+ ( [x]+3 )-[x+1], x (–2,2) is not...
- A charge Q is moving d l distance in the magnetic field B . Find the value of work done by B .
- A mosquito is moving with a velocity v =0.5t^2 i +3t j +9 k m/s and accelerating in uniform conditions. What will be the...
- Find out the surface charge density at the intersection of point x = 3 m plane and x-axis, in the region of uniform line charge...
- The half-life of Au^ 198 is 2.7 days. The activity of 1.50 mg of Au^ 198 if its atomic weight is 198 g mol ^ -1 is, (N_A=6 10^ 23...
- Calculate the value of mean free path ( ) for oxygen molecules at temperature 27°C and pressure 1.01 10^5 Pa. Assume the...
- The refractive index of a converging lens is 1.4. What will be the focal length of this lens if it is placed in a medium of same...
- In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured using a scale of least count = 0.001 cm) and...
- A resistor develops 500 J of thermal energy in 20s when a current of 1.5 A is passed through it. If the current is increased from...
- Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh^ -1 and takes a sharp circular turn along a path of...
- Two identical antennas mounted on identical towers are separated from each other by a distance of 45 km. What should nearly be...Not in JEE or NEET syllabus