JEE Main questions
34495 published questions with worked solutions.
- Let p, q ∈ R. If 2 - 3 is a root of the quadratic equation, x^2 + px + q = 0, then:
- Let f(x) = 15 − |x − 10|; x ∈ R. Then the set of all values of x, at which the function, g(x) = f(f(x)) is not differentiable, is:
- Let _ k=1 ^ 10 f(a + k) = 16(2^ 10 - 1), where the function f satisfies f(x + y) = f(x)f(y) for all natural numbers x, y and f(1)...
- If the standard deviation of the numbers −1, 0, 1, k is 5 where k > 0, then k is equal to:
- If the line y = mx + 7 3 is normal to the hyperbola x^2 24 - y^2 18 = 1, then a value of m is:
- If bmatrix 1&1 0&1 bmatrix bmatrix 1&2 0&1 bmatrix bmatrix 1&3 0&1 bmatrix bmatrix 1&n-1 0&1 bmatrix = bmatrix 1&78 0&1 bmatrix ,...
- If the function f defined on ( 6 , 3 ) by f(x) = cases 2 x - 1 x - 1 , & x 4 k, & x = 4 cases is continuous, then k is equal to:
- Four persons can hit a target correctly with probabilities 12, 13, 14 and 18 respectively. If all hit at the target...
- If one end of a focal chord of the parabola, y^2 = 16x is at (1, 4), then the length of this focal chord is:
- Let α and β be the roots of the equation x^2 + x + 1 = 0. Then for y ≠ 0 in R, vmatrix y+1 & & & y+ & 1 & 1 & y+ vmatrix is equal...
- All the points in the set S = + i - i : R (i = -1 ) lie on a:
- The value of _0^ /2 ^3x x + x dx is:
- The value of ^210° - 10° 50° + ^250° is:
- Let the sum of the first n terms of a non-constant A.P., a_1, a_2, a_3, be 50n + n(n-7) 2 A, where A is a constant. If d is the...
- If the line, x-1 2 = y+1 3 = z-2 4 meets the plane, x + 2y + 3z = 15 at a point P, then the distance of P from the origin is:
- A plane passing through the points (0, −1, 0) and (0, 0, 1) and making an angle 4 with the plane y − z + 5 = 0, also passes...
- If the tangent to the curve, y = x^3 + ax - b at the point (1, −5) is perpendicular to the line, −x + y + 4 = 0, then which one...
- If the fourth term in the Binomial expansion of ( 2x + x^ _8x )^6 (x > 0) is 20 8^7, then a value of x is:
- The area (in sq. units) of the region A = (x, y) : x^2 y x + 2 is:
- In the formula X = 5YZ^2, X and Z have dimensions of capacitance and magnetic field, respectively. What are the dimensions of Y...