JEE Main questions
34495 published questions with worked solutions.
- At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At the same...
- The mass of ammonia in grams produced when 2.8 kg of dinitrogen quantitatively reacts with 1 kg of dihydrogen is _______ .
- If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in...
- A 20.0 mL solution containing 0.2 g impure H_2O_2 reacts completely with 0.316 g of KMnO_4 in acid solution. The purity of H_2O_2...
- Given the following two statements : (S₁) : (q ∨ p) → (p ↔ q) is a fallacy. Then :Not in JEE syllabus
- If (a+ 2 b x)(a- 2 b y)=a^2-b^2 where a > b > 0, then dx dy at ( 4 , 4 ) is :
- The integral ( x x x+ x )^2dx is equal to (where C is a constant of integration) :
- A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If ∠BAC = 90°, and ar(ΔABC) = 5 5 sq. units,...
- The value of _ r=0 ^ 20 ^ 50-r C_6 is equal to :
- Let P(3, 3) be a point on the hyperbola, x^2 a^2 - y^2 b^2 =1. if the normal to it at P intersects the x-axis at (9, 0) and e is...
- Let y = y(x) be the solution of the differential equation, xy'-y=x^2(x x+ x), x > 0. if y( ) = , then y'' ( 2 )+y ( 2 ) is equal...
- Let [t] denote the greatest integer ≤ t. Then the equation in x, [x]^2+2[x+2]-7=0 has :
- A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B. If x% fo the people read both the...
- Let f(x) = |x – 2| and g(x) = f(f(x)), x ∈ [0, 4]. Then _0^3(g(x)-f(x)) ,dx is equal to :
- Let x_0 be the point of local maxima of f(x)= a ( b c ), where a =x i -2 j +3 k , b =-2 i +x j - k and c =7 i -2 j +x k . Then...
- Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A and C on the ground. If P is...Not in JEE syllabus
- Let x^2 a^2 + y^2 b^2 =1 (a > b) be a given ellipse, length of whose latus rectum is 10. If its eccentricity is the maximum value...
- If 1+(1-2^2 1)+(1-4^2 3)+(1-6^2 5)+ +(1-20^2 19)= -220 , then an ordered pair ( , ) is equal to :
- The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations are 5, 7, 10, 12, 14, 15, then...
- Let f(x)= x (1+x)^2 dx (x ≥ 0). Then f(3) – f(1) is equal to :