Pre-calculus

1st sem

Conic

The section obtained if a plane is made to cut a double right circular cone.

Conic

If the plane does not pass through the vertex of the cone, then the conic sections formed are: a circle, an ellipse, a parabola and a hyperbola.

Conic

The section obtained if a plane is made to cut a double right circular cone.

Conic

If the plane does not pass through the vertex of the cone, then the conic sections formed are: a circle, an ellipse, a parabola and a hyperbola.

Degenerate conic

If the plane passes through the vertex of the cone.

Degenerate Conic

A degenerate conic may be a point, line, or two intersecting lines.

Ax^2+Bxy+Cy^2+Dx+Ey+F=0

General Equation

A=C

Circle

A · C= 0

Parabola

A · C > 0

Ellipse

A · C < 0

Hyperbola

Circle

The set of all points P(x,y) in a plane which moves at a constant distance from a fixed point called its center C(h,k) and the constant distance of any point from the center is called radius.

fixed point called center

c(h,k)

set of all points

p(x,y)

radius

the constant distance of any point from the center