JEE Main questions
34495 published questions with worked solutions.
- A weak acid HA has degree of dissociation x. Which option gives the correct expression of pH – pK_a) ?
- Consider "n" is the number of lone pair of electrons present in the equatorial position of the most stable structure of ClF_3....
- The metal ion whose electronic configuration is not affected by the nature of the ligand and which gives a violet colour in...
- In a multielectron atom, which of the following orbitals described by three quantum numbers with have same energy in absence of...
- Consider the following elements In, Tl, Al, Pb, Sn and Ge. The most stable oxidation states of elements with highest and lowest...
- Which of the following oxidation reactions are carried out by both K_2Cr_2O_7 and KMnO_4 in acidic medium ? A. I^- I_2 B. S^ 2- S...
- Statement I : D-glucose pentaacetate reacts with 2, 4-dinitrophenylhydrazine. Statement II : Starch, on heating with concentrated...
- Quantitative analysis of an organic compound (X) shows following % composition. C : 14.5%; Cl : 64.46%; H : 1.8% (Empirical...
- The molarity of a 70% (mass/mass) aqueous solution of a monobasic acid (X) is _______× 10^ -1 M(Nearest integer) [Given : Density...
- The formation enthalpies, H_f^ for H_ (g) and O_ (g) are 220.0 and 250.0 kJ mol^ -1 , respectively, at 298.15 K, and H_f^ for...
- Let A, B, C be three points in xy-plane, whose position vectors are given by 3 i + j , i + 3 j and a i +(1-a) j respectively with...
- If the components of a = i + j + k along and perpendicular to b =3 i + j - k respectively, are 16 11 (3 i + j - k ) and 1 11 (-4...
- If α + iβ and γ + iδ are the roots of x^2 - (3-2i)x - (2i-2) = 0, i= -1 , then αγ + βδ is equal to :
- Let S be the set of all the words that can be formed by arranging all the letters of the word 'GARDEN'. From the set S, one word...
- Let f be a real valued continuous function defined on the positive real axis such that g(x)= _0^x tf(t)dt. If g(x^3)=x^6+x^7,...
- The square of the distance of the point ( 15 7 , 32 7 ,7 ) from the line x+1 3 = y+3 5 = z+5 7 in the direction of the vector i...
- The area of the region bounded by the curves x(1+y^2)=1 and y^2=2x is :
- Let A= bmatrix 1 2 & -2 0 & 1 bmatrix and P= bmatrix & - & bmatrix , θ > 0. If B=PAP^T, C=P^TB^ 10 P and the sum of the diagonal...
- If f(x) = 1 x^ 1/4 (1+x^ 1/4 ) dx, f(0) = –6, then f(1) is equal to:
- Let f : R → R be a twice differentiable function such that f(2) = 1. If F(x) = xf(x) for all x ∈ R, _0^2 xF'(x)dx = 6 and _0^2...