# How do you write an equation of an ellipse in standard form given center at the origin, focus at (5,0), and 1/2 the length of the minor axis is 3/8?

##### 1 Answer

Jul 18, 2016

**The stadard equation of ellipse with origin as center:**

#color(red)(x^2/a^2+y^2/b^2=1----(1))#

Given

Now we know that eccentricity **e** is related with **a** and **b** as follows

**Putting these in equation(1) we get**

#color(blue)(x^2/1609+y^2/9=1/64)#