Ellipse
Question 1: What is an ellipse?
Answer:
When a plane, intersects a cone at an angle with respect to the base the curve formed is called an ellipse. It is the locus of points, whose sum of the distances from two foci is always constant.
Question 2: What is the major and minor axis of an ellipse?
Answer:
Ellipses are distinguished by two axes running along the x and y axes:
- Major Axis: The major axis is the ellipse’s longest diameter, running through the center from one end to the other at the broadest part of the ellipse.
- Minor Axis: The minor axis is the shortest diameter of an ellipse that crosses through the center at its narrowest point. Half of the major axis is the semi-major axis, and half of the minor axis is the semi-minor axis.
Question 3: What is the Area of an ellipse?
Answer:
The area of the ellipse is the region covered by the shape in the two-dimensional plane. It is given by:
Area = πab
where
a is the semi-major axis
b is the semi-minor axis
Question 4: What is the equation of an ellipse?
Answer:
Equation of the ellipse is given by:
(x2/a2)+(y2/b2) = 1
Question 5: What are the Asymptotes of Ellipse?
Answer:
Asymptotes are lines drawn parallel to the curve and it is assumed that they meet the curve at infinity. Ellipse has no asymptote.
Ellipse
An ellipse is the locus of all points on a plane with constant distances from two fixed points in the plane. The fixed points encircled by the curve are known as foci (singular focus). The constant ratio is the eccentricity of the ellipse and the fixed line is the directrix. In this article, we will learn about the ellipse in detail.