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Let α and β be the roots of the equation x² + 2ax + (3a + 10) = 0 such […]

Let y² = 12x be the parabola with its vertex at O. Let P be a point on the parabola

If the system of equations 3x + y + 4z = 3, 2x + αy − z = −3, x

Let the line L pass through the point (−3, 5, 2) and make equal angles with the positive coordinate axes.

Let z be the complex number satisfying |z − 5| ≤ 3 and having maximum positive principal argument. Then 34|(5z−12)/(5iz+16)|²

Let one end of a focal chord of the parabola y² = 16x be (16, 16). If P(α, β) divides

Let y = y(x) be the solution of sec x dy/dx − 2y = 2 + 3sinx, x ∈ (−π/2,

Let f(x) = x³ + x²f′(1) + 2xf″(2) + f‴(3), x ∈ R. Then the value of f′(5) is 📐

6 times integral from 0 to pi of absolute value of sin 3x + sin 2x + sin x dx