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Chapter 11: Q. 4 (page 772)

Graph the equation:x2+4y2=4

Short Answer

Expert verified

The graph of x2+4y2=4is

Step by step solution

01

Step 1. Given data

The given equation is

x2+4y2=4

02

Step 2. Properties of equation  

Rearrange the equation into the standard form of the equation of the ellipse

x2+4y2=4x222+y212=1x2a2+y2b2=1

then

a=2b=1c=a2+b2c=1.73

vertices are卤a,0=卤2,0

foci are卤c,0=卤1.73,0

co-vertices are0,卤b=0,卤1

03

Step 3. Graph

Plot a hyperbola of the vertices卤2,0,co-vertices0,卤1, and foci 卤1,0to plot the graph ofx2+4y2=4

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