CONE

DEFINITION: A cone is defined as a surface generated by a straight line which passes through a fixed point and satisfies one or more conditioni.e.ie, it may intersect a fixed curve.

Note:

1. The fixed point is said to be the vertex of the cone

2. The fixed curve is said to be the guiding curve of the cone

3. The straight line in any position is called the generator of the cone.

FORMULA:

The equation of the cone with vertex (x₁,y₂,z₁) and whose generators intersect the guiding curve

1. Find the equation of the cone with vertex at (1,1,1) and which passes through the curve given by