Describe the method for drawing an ellipse and explain the foci of an ellipse,midpoint,and semi-major axis.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) $1$. Select two points $F_{1}$ and $F_{2}$.
$2$. Fix the ends of a string at $F_{1}$ and $F_{2}$.
$3$. Using the tip of a pencil,stretch the string taut and draw a curve by moving the pencil while keeping the string taut throughout the motion.
$4$. The resulting closed curve is called an ellipse.
$5$. For any point $T$ on the ellipse,the sum of the distances from $F_{1}$ and $F_{2}$ is constant. The points $F_{1}$ and $F_{2}$ are called the foci.
$6$. Join the points $F_{1}$ and $F_{2}$ and extend the line to intersect the ellipse at points $P$ and $A$. The midpoint of the line segment $PA$ is the centre of the ellipse,denoted by $O$.
$7$. The length $PO = AO$ is called the semi-major axis of the ellipse.

Explore More

Similar Questions

Two satellites of equal mass are revolving around Earth in elliptical orbits of different semi-major axes. If their angular momenta about the Earth's center are in the ratio $3:4$,then the ratio of their areal velocities is ........

Two satellites $S_{1}$ and $S_{2}$ are revolving around a planet in the opposite sense in coplanar circular concentric orbits. At time $t=0$,the satellites are farthest apart. The periods of revolution of $S_{1}$ and $S_{2}$ are $3 \,h$ and $24 \,h$,respectively. The radius of the orbit of $S_{1}$ is $3 \times 10^{4} \,km$. Then,the orbital speed of $S_{2}$ as observed from

$A$ body $A$ of mass $m$ is moving in a circular orbit of radius $R$ about a planet. Another body $B$ of mass $\frac{m}{2}$ collides with $A$ with a velocity which is half $\left(\frac{\overrightarrow{v}}{2}\right)$ the instantaneous velocity $\overrightarrow{v}$ of $A$. The collision is completely inelastic. Then,the combined body

Using the data given below,find the height at which a communication satellite can reside. $(G=6.67 \times 10^{-11} \text{ N-m}^2 \text{ kg}^{-2}, M=5.98 \times 10^{24} \text{ kg}, R=6.4 \times 10^6 \text{ m})$ (in $\text{ km}$)

$A$ geostationary satellite is orbiting the earth at a height of $6R$ above the surface of the earth,where $R$ is the radius of the earth. The time period of another satellite at a height of $2.5R$ from the surface of the earth is

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo