The cylinder is a surface generated by a variable straight line which is parallel to a fixed line and intersecting a given curve. It has following parts↓ (i) Generator:- The line which generates the surface of the cylinder. (ii) Axis:- The fixed straight line is called the axis. (iii) Guiding curve:- The curve with which the generator intersect. ★Equation of cylinder The equation of Cylinder whose generators are parallel to the line x/l=y/m=z/n and base is the conic is ax²+by²+2hxy+2gx+2fy+c=0,z=0
Asymptote is a straight line which touches the curve y=f(x) at infinity. ||Or|| A straight line is said to be an asymptote of an infinite branch of a curve, if as the point p recedes to infinity along the branch, the perpendicular distance of p from the straight line tends to zero.