1Q_Elective_Summative Test 1&2

Cone

is a surface of a rotation of a straight line

Apex or vertex

top point of cone

Axis

the imaginary line joining apex and center of the base

Generator

the straight line which generates the surface of the cone

Conic Section

the curves obtained by the intersection of a right circular cone by a plane at different angles

Conic: Circle

if a cutting plane is perpendicular to the axis and cuts all the generators.

Conic: Ellipse

inclined to the axis of the cone and cuts all the generators on one side of the apex

Conics: Parabola

if a cutting plane is inclined to the axis of the cone and parallel to one of the generators

Conic: Hyperbola

if a cutting plane intersects both the cones but not passing through the apex

Eccentricity

conics can also defined in terms of eccentricity

Parameter

that defines the curve shape

Parameter

it tells how stretched or flattened a conic is

Circle

set of all points on a plane that are equidistant from a fixed point on a plane

Center

fixed point

Radius

distance from the center to any point of the circle

Tangent

to a circle is a straight line that intersects the circle at exactly one point referred as the point of tangency

Circumscribed Circle (Circumcircle)

about a triangle is a circle around the outside of a triangle, such that it touches the vertices of the triangle