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Chapter 12: Q. 7 (page 840)

Find the equation of an ellipse with center at the origin, a focus at 0,3, and a vertex at 0,4.

Short Answer

Expert verified

The equation of ellipse isx27+y216=1

Step by step solution

01

Step 1. Given Information

Focus of the ellipse 0,3and vertex 0,4

Focus=0,c=0,3and vertex 0,a=0,4. Soc=3,a=4

02

Step 2. Finding the value of a,b

By the relation

c2=a2-b232=42-b2b2=16-9=7

03

Step 3. Equation of Ellipse

x2b2+y2a2=1x27+y216=1

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