### Common Errors in Secondary Mathematics

Common Errors Committed  by the  Students  in Secondary Mathematics   Errors  that students often make in doing secondary mathematics  during their practice and during the examinations  and their remedial measures are well explained here stp by step.  Some Common Errors in Mathematics

### 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}$

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
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$

# Art Integrated Project on Conic Section Class 11

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Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics