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Tamil Nadu Board of Secondary EducationHSC Science Class 12

Revision: Two Dimensional Analytical Geometry-II Mathematics HSC Science Class 12 Tamil Nadu Board of Secondary Education

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Definitions [7]

Definition: Conic Sections

A conic section is the locus of a point such that the ratio of its distance from a fixed point (focus) to a fixed line (directrix) is constant.

Definition: Centre

The point which bisects every chord of the conic passing through it is called the centre of the conic section.

Definition: Axis

The straight line passing through the focus and perpendicular to the directrix is called the axis of the conic section.

Definition: Vertex

The points of intersection of the conic section and the axis are called the vertices of the conic section.

Definition: Latusrectum

The chord passing through the focus and perpendicular to the axis is called the latus rectum of the conic section.

Definition: Focal Chord

A chord of a conic passing through the focus is called a focal chord.

Definition: Double Ordinate

A straight line drawn perpendicular to the axis and terminating at both ends of the curve is a double ordinate of the conic section.

Formulae [1]

Formula: Eccentricity (e)

$$e = \frac{\text{distance from focus}}{\text{distance from directrix}}$$

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