PDF Files of Mathematics Assignments From VIII Standard to XII Standard PDF of mathematics Assignments for the students from VIII standard to XII standard.These assignments are strictly according to the CBSE and DAV Board Final question Papers

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Conic Sections Ellipse & Hyperbola Class 11 | Ch-10

Conic Sections | Ellipse & Hyperbola | Chapter-11 | Class XI

Conic Section, Ellipse and its complete explanation with diagrams, Hyperbola and its complete explanation with diagrams

ELLIPSE An ellipse is the set of all points in a plane sum of whose distances from two fixed points in the plane is a constant. The two fixed points are called foci.

Eccentricity < 1

CENTRE OF THE ELLIPSE:- The mid point of the line segment joining the foci is called the centre of the ellipse.

MAJOR AXIS:- A line segment passing through the foci of the ellipse is called the major axis.

MINOR AXIS:- A line passing through the centre of the ellipse and is perpendicular to the major axis is called minor axis.

ECCENTRICITY:- It is defined as the ratio of the half of the distance between the foci to the length of the semi major axis. Mathematically:- e = c / a

LATUS RECTUM:- It is the line segment perpendicular to the major axis through any of the foci and whose end points lie on the ellipse. Mathematically Length of latus rectum is =\frac{2b^{2}}{a}\]

STANDARD EQUATIONS OF THE ELLIPSE:-

When major axis is along the x-axis then equation of the ellipse is

When major axis is along the x-axis then equation of the ellipse is

Where

PROPERTIES OF ELLIPSE

HYPERBOLA:-

It is the set of all points in a plane, the difference of whose distances from two fixed points in the plane is fixed or constant. Eccentricity > 1

TRANSVERSE AXIS:- The line through the focuses is called transverse axis. Length of transverse axis is 2a.

CONJUGATE AXIS:- A line through the centre and perpendicular to the transverse axis is called conjugate axis. Length of conjugate axis is 2b Distance between two focii is 2c, where

ECCENTRICITY:- The ratio e = c/a is called eccentricity

LENGTH OF LATUS RECTUM:- It is the line segment perpendicular to the transverse axis through any of the focuses and whose end points lie on the hyperbola.

STANDARD EQUATIONS OF HYPERBOLA:-

When major axis is x-axis then equation of hyperbola is

When major axis is y-axis then equation of hyperbola is

PROPERTIES OF HYPERBOLA

Art Integrated Project on Conic Section Class 11

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Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics

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