Featured Posts

Math Assignment Class VIII | Square & Square Root

Image
  Math Assignment  Class VIII | Square & Square Root Download or Print free  assignment with answer key  for   Class  8 Squares and  Square Roots.   Important and extra questions that cover all topics of square and square root and is useful and helpful for the students. Math Assignment  Class VIII | Square & Square Root LEVEL -1

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
https://dinesh51.blogspot.com\[Distance\; between\; two\; focuses \; is = 2c ,where\; \; c^{2}=a^{2}+b^{2}\]
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

*******************************************


🙏
Thanks for watching and reading


Maths Conic Section Part 2 Class 11 NCERT-cbse mathematics

Comments

Breaking News

Popular Post on this Blog

Lesson Plan Maths Class 10 | For Mathematics Teacher

Lesson Plan Math Class 10 (Ch-1) | Real Numbers

Lesson Plan Maths Class XII | For Maths Teacher

SUBSCRIBE FOR NEW POSTS

Followers