### CBSE Assignments class 09 Mathematics

Mathematics Assignments & Worksheets  For  Class IX Chapter-wise mathematics assignment for class 09. Important and useful extra questions strictly according to the CBSE syllabus and pattern with answer key CBSE Mathematics is a very good platform for the students and is contain the assignments for the students from 9 th  to 12 th  standard.  Here students can find very useful content which is very helpful to handle final examinations effectively.  For better understanding of the topic students should revise NCERT book with all examples and then start solving the chapter-wise assignments.  These assignments cover all the topics and are strictly according to the CBSE syllabus.  With the help of these assignments students can easily achieve the examination level and  can reach at the maximum height. Class 09 Mathematics    Assignment Case Study Based Questions Class IX

### Conic Sections / Ellipse & Hyperbola / Chapter-11 / Class XI

Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics

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.

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:-

$When\; major\; axis\; is\; along \; the\; x-axis\; then\; equation \; of \; the\; ellipse\; is\; \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1$
$When\; major\; axis\; is\; along \; the\; y-axis\; then\; equation \; of \; the\; ellipse\; is\; \frac{x^{2}}{b^{2}}+\frac{y^{2}}{a^{2}}=1$$c^{2}=a^{2}-b^{2}$

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.

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
$Distance\; between\; two\; focuses \; is = 2c ,where\; \; c^{2}=a^{2}+b^{2}$
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.

Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics
STANDARD EQUATIONS OF HYPERBOLA:-
$When\; major\; axis \: \: is\: x-axis\: then \: equation\: of\: hyperbola\: is \: \: \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$$When\; major\; axis \: \: is\: y-axis\: then \: equation\: of\: hyperbola\: is \: \: \frac{y^{2}}{a^{2}}-\frac{x^{2}}{b^{2}}=1$

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