What is the quadric equations?

A quadric equation is a polynomial equation of degree two in multiple variables, typically expressed in the form (Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0), where (A), (B), (C), (D), (E), and (F) are constants. In two dimensions, it represents conic sections like circles, ellipses, parabolas, and hyperbolas. In three dimensions, quadric surfaces include shapes like ellipsoids, hyperboloids, and paraboloids. The nature of the quadric is determined by the coefficients of the equation.