CONIC SECTIONS

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SECTIONS of a cone Let l be a fixed vertical line and m be another line intersectingit at a fixed point V and inclined to it at an angle (Fig. ).Fig. we rotate the line m around the line l in such a way that the angle remainsconstant. Then the surface generated is a double-napped right circular hollow coneherein after referred as cone and extending indefinitely in both directions (Fig. ).Fig. SECTIONS18/04/18The point V is called the vertex; the line l is the axis of the cone. The rotating line m iscalleda generator of the cone. The vertex separates the cone into two parts we take the intersection of a plane with a cone, the section so obtained is called aconic section .

CONIC SECTIONS 189 Standard equations of parabola The four possible forms of parabola are shown below in Fig. 11.7 (a) to (d) The latus rectum of a parabola is a line segment perpendicular to the axis of the

  Section, Cinco, Conic sections