What is the equation of ellipse with foci 1 1 and (- 1 1 and length of major axis is 4?

An equation for the ellipse with foci (1, 1) and (-1, -1) and major axis of length 4 is x2/4 + y2/4 = 1.

How do you find the equation of the semi-major axis of an ellipse?

The semi-major axis is half of the major axis. To find the length of the semi-major axis, we can use the following formula: Length of the semi-major axis = (AF + AG) / 2, where A is any point on the ellipse, and F and G are the foci of the ellipse.

How do you write the equation of an ellipse given the foci and major axis?

If the y-coordinates of the given vertices and foci are the same, then the major axis is parallel to the x-axis. Use the standard form (x−h)2a2+(y−k)2b2=1 ( x − h ) 2 a 2 + ( y − k ) 2 b 2 = 1 . If the x-coordinates of the given vertices and foci are the same, then the major axis is parallel to the y-axis.

What is the equation of the ellipse with foci and major axis?

Given the major axis is 20 and foci are (0, ± 5). Here the foci are on the y-axis, so the major axis is along the y-axis. So the equation of the ellipse is x 2 /b 2 + y 2 /a 2 = 1

What is the length of the major axis of the ellipse?

Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0, ± 5). Given the major axis is 20 and foci are (0, ± 5).

What is the general equation for a horizontal ellipse?

The general equation for a horizontal ellipse is ( x − h) 2 a 2 + ( y − k) 2 b 2 = 1 ( x – h) 2 a 2 + ( y – k) 2 b 2 = 1.

How many focal points does an ellipse have?

Properties Ellipse has two focal points, also called foci. The fixed distance is called a directrix. The eccentricity of ellipse lies between 0 to 1. 0≤e<1; The total sum of each distance from the locus of an ellipse to the two focal points is constant; Ellipse has one major axis and one minor axis and a center; Eccentricity of the Ellipse