Let n be the number obtained on rolling a fair die. If the probability that the system x − ny […]
Let the locus of the mid-point of the chord through the origin O of the parabola y^2 = 4x be
Let f(x) = [x]^2 − [x + 3] − 3, x ∈ R, where [.] is the greatest integer function.
If (cos²48° − sin²12°)/(sin²24° − sin²6°) = (α + β√5)/2, where α, β ∈ N, then α + β is
Let ABC be a triangle. Consider four points p1, p2, p3, p4 on the side AB, five points p5, p6,
Let relation R on set M = {1,2,3,…,16} given by R = {(x,y): 4y = 5x – 3, x,y ∈
The coefficient of x⁴⁸ in (1+x) + 2(1+x)² + 3(1+x)³ + … + 100(1+x)¹⁰⁰ is equal to | JEE Main
If the sum of the first four terms of an A.P. is 6 and the sum of its first six
If the chord joining the points P₁(x₁, y₁) and P₂(x₂, y₂) on the parabola y² = 12x subtends a right
Let P(α, β, γ) be the point on the line (x-1)/2 = (y+1)/-3 = z at a distance 4√14 from