Let S = {(m,n) : m,n ∈ {1,2,3,…,50}}. If the number of elements (m,n) in S such that 6ᵐ + […]
Let a₁ = 1 and for n ≥ 1, aₙ₊₁ = (1/2)aₙ + (n²−2n−1)/n²(n+1)². Then |Σ(aₙ − 2/n²)| is equal
For some α, β ∈ ℝ, let A = [α 2; 1 2] and B = [1 1; 1 β]
Let y = y(x) be the solution curve of the differential equation (1 + x²)dy + (y − tan⁻¹x)dx =
Let O be the vertex of the parabola x² = 4y and Q be any point on it. Let the
If the coefficient of x in the expansion of (ax² + bx + c)(1 − 2x)²⁶ is -56 and the
Let the foci of a hyperbola coincide with the foci of the ellipse x^2/36 + y^2/16 = 1. If the
Let f : R -> (0, inf) be a twice differentiable function. Find the limit value | JEE Mathematics Let
Let a point A lie between the parallel lines L1 and L2. Find the area of the equilateral triangle ABC
If the domain of the function f(x) = cos^-1((2x – 5)/(11 – 3x)) + sin^-1(2x^2 – 3x + 1) is