## Posts Tagged ‘ellipse’

## Problem 1143

Find the eccentricity of the ellipse

Solution:-

eccentricity of the ellipse = c/a

c = √(a^2 – b^2)

c = √(25-5)

c= √(20)

c = 2√(5)

eccentricity = (2√5)/5

## Problem 718

Find the eccentricity of the ellipse

**Solution:-**

eccentricity of the ellipse =

c =

c =

c=

c =

eccentricity =

## Problem 519

**What are the vertices of the following graph?**

**Solution:-**

This is an ellipse with a center at (0, 0), vertices at (-5, 0) and (5, 0), co-vertices at (0, 3) and (0, -3), the major axis has a length of 10 and the minor axis has a length of 6, the foci are (-4, 0) and (4, 0).

So the vertices is (-5, 0) and (5, 0).

## Problem 518

What is the length of the minor axis of the following graph?

**Solution:-**

This is an ellipse with a center at (0, 0), vertices at (-5, 0) and (5, 0), co-vertices at (0, 3) and (0, -3), the major axis has a length of 10 and the minor axis has a length of 6, the foci are (-4, 0) and (4, 0).

So the minor axis is 6.