JEE Main questions
34495 published questions with worked solutions.
- The sum of the total number of bonds between chromium and oxygen atoms in chromate and dichromate ions is _______
- A sample of milk splits after 60 min. at 300 K and after 40 min. at 400 K when the population of lactobacillus acidophilus in it...
- Consider the following reactions A [ (ii) H _3 O ^+] (i) CH _3 MgBr B [573 K] Cu 2-methyl-2-butene The mass percentage of carbon...
- 10.30 mg of O_2 is dissolved into a liter of sea water of density 1.03 g/mL. The concentration of O_2 in ppm is ______.
- Given : f(x)= cases x, & 0 x< 12 12, & x= 12 1-x, & 12<x 1 cases and g(x)= (x- 12 )^2, x R. Then the area (in sq. units) of the...
- Let a, b R, a 0 be such that the equation, ax^2-2bx+5=0 has a repeated root , which is also a root of the equation, x^2-2bx-10=0....
- If A= x R: |x|<2 and B= x R: |x-2| 3 ; then -
- Let a_n be the n^ th term of a G.P. of positive terms. If _ n=1 ^ 100 a_ 2n+1 =200 and _ n=1 ^ 100 a_ 2n =100, then _ n=1 ^ 200...
- If z be a complex number satisfying |Re(z)| + |Im(z)| = 4, then |z| cannot be -
- If x= _ n=0 ^ (-1)^n ^ 2n and y= _ n=0 ^ ^ 2n , for 0< < 4 , then -
- Let [t] denote the greatest integer t and _ x 0 x [ 4 x ]=A. Then the function, f(x)=[x^2] ( x) is discontinuous, when x is equal...
- Let a function f:[0,5] R be continuous, f(1) = 3 and F be defined as F(x)= _1^x t^2g(t) ,dt, where g(t)= _1^t f(u) ,du. Then for...
- A random variable X has the following probability distribution : | X | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---| | P(X) | K^2...
- If d ^2 ( 2 + 2 ) = +2 _e|f( )|+C where C is a constant of integration, then the ordered pair ( ,f( )) is equal to -
- The length of the minor axis (along y-axis) of an ellipse in the standard form is 4 3 . If this ellipse touches the line, x + 6y...
- If x=2 - 2 and y=2 - 2 , [0,2 ], then d^2y dx^2 at = is -
- If dy dx = xy x^2+y^2 ; y(1) = 1; then a value of x satisfying y(x) = e is -
- Let a – 2b + c = 1. If f(x)= vmatrix x+a & x+2 & x+1 x+b & x+3 & x+2 x+c & x+4 & x+3 vmatrix , then -
- If 10 different balls are to be placed in 4 distinct boxes at random, then the probability that two of these boxes contain...
- The following system of linear equations 7x+6y-2z=0 3x+4y+2z=0 x-2y-6z=0, has