JEE Main questions
34495 published questions with worked solutions.
- At room temperature, a dilute solution of urea is prepared by dissolving 0.60 g of urea in 360 g of water. If the vapour pressure...
- Three complexes, [CoCl(NH_3)_5]^ 2+ (I), [Co(NH_3)_5H_2O]^ 3+ (II) and [Co(NH_3)_6]^ 3+ (III) absorb light in the visible region....
- Match the refining methods (Column I) with metals (Column II). List-I: (I) Liquation (II) Zone Refining (III) Mond Process (IV)...Not in JEE Main or NEET syllabus
- During the change of O_2 to O_2^-, the incoming electron goes to the orbital:
- Which of the following is a condensation polymer?Not in JEE Main or NEET syllabus
- The region represented by |x − y| ≤ 2 and |x + y| ≤ 2 is bounded by a:
- All the pairs (x, y) that satisfy the inequality 2^ ^2x - 2 x + 5 1 4^ ^2y 1 also satisfy the equation:Not in JEE Main syllabus
- If α and β are the roots of the quadratic equation, x^2 + x - 2 = 0, (0, 2 ), then ^ 12 + ^ 12 ( ^ -12 + ^ -12 ) ( - )^ 24 is...
- If a > 0 and z = (1 + i)^2 a - i , has magnitude 25 , then z is equal to:
- If the length of the perpendicular from the point (β, 0, β) (β ≠ 0) to the line, x 1 = y-1 0 = z+1 -1 is 32 , then β is equal to:
- If _1 = vmatrix x & & - & -x & 1 & 1 & x vmatrix and _2 = vmatrix x & 2 & 2 - 2 & -x & 1 2 & 1 & x vmatrix , x ≠ 0; then for all...
- Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional...
- If _ x 1 x^4 - 1 x - 1 = _ x k x^3 - k^3 x^2 - k^2 , then k is:
- If a directrix of a hyperbola centred at the origin and passing through the point (4, -2 3) is 5x = 4 5 and its eccentricity is...
- If f(x) = cases (p+1)x + x x , & x < 0 q, & x = 0 x + x^2 - x x^ 3/2 , & x > 0 cases is continuous at x = 0, then the ordered...
- If the coefficients of x^2 and x^3 are both zero, in the expansion of the expression (1 + ax + bx^2)(1 - 3x)^ 15 in powers of x,...
- If the circles x^2 + y^2 + 5Kx + 2y + K = 0 and 2(x^2 + y^2) + 2Kx + 3y - 1 = 0, (K ∈ R), intersect at the points P and Q, then...
- The sum 3 1^3 1^2 + 5 (1^3 + 2^3) 1^2 + 2^2 + 7 (1^3 + 2^3 + 3^3) 1^2 + 2^2 + 3^2 + up to 10th term is:
- Let f: R R be differentiable at c ∈ R and f(c) = 0. If g(x) = |f(x)|, then at x = c, g is:
- If Q(0, −1, −3) is the image of the point P in the plane 3x − y + 4z = 2 and R is the point (3, −1, −2), then the area (in sq....