JEE Main questions
34495 published questions with worked solutions.
- The area of the region A = (x, y) : 0 y x|x| + 1 and -1 x 1 in sq. units, is:
- If the circles x^2 + y^2 - 16x - 20y + 164 = r^2 and (x - 4)^2 + (y - 7)^2 = 36 intersect at two distinct points, then:
- An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red ball is...
- If A = bmatrix e^t & e^ -t t & e^ -t t e^t & -e^ -t t - e^ -t t & -e^ -t t + e^ -t t e^t & 2e^ -t t & -2e^ -t t bmatrix then A is:
- The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repetition of digits...
- If _0^ /3 2k d = 1 - 1 2 , (k > 0), then the value of k is:
- The number of all possible positive integral values of α for which the roots of the quadratic equation, 6x^2 - 11x + = 0 are...
- If the system of linear equations x − 4y + 7z = g, 3y − 5z = h, −2x + 5y − 9z = k is consistent, then:
- If both the roots of the quadratic equation x^2 - mx + 4 = 0 are real and distinct and they lie in the interval [1, 5], then m...
- If x = ^ -1 ( 10) and y = ^ -1 ( 10), then y − x is equal to:
- Let A = x ∈ R : x is not a positive integer . Define a function f: A → R as f(x) = 2x x - 1 , then f is:
- For each x ∈ R, let [x] be the greatest integer less than or equal to x. Then _ x 0^- x([x] + |x|) [x] |x| is equal to:
- Let A(4, −4) and B(9, 6) be points on the parabola, y^2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the...
- A mixture of 2 moles of helium gas (atomic mass = 4u), and 1 mole of argon gas (atomic mass = 40u) is kept at 300 K in a...
- A sample of radioactive material A, that has an activity of 10 mCi (1 Ci = 3.7 10^ 10 decays/s), has twice the number of nuclei...
- A convex lens is put 10 cm from a light source and it makes a sharp image on a screen, kept 10 cm from the lens. Now a glass...
- For a uniformly charged ring of radius R, the electric field on its axis has the largest magnitude at a distance h from its...
- Drift speed of electrons, when 1.5 A of current flows in a copper wire of cross section 5 mm^2, is v. If electron density in...
- A plane electromagnetic wave of frequency 50 MHz travels in free space along the positive x-direction. At a particular point in...
- Surface of certain metal is first illuminated with light of wavelength _1 = 350 nm and then, by light of wavelength _2 = 540 nm....