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Chapter 11: Q. 335 (page 1160)

a) Identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola, and b) Graph the equation.

3x2+3y2=27.

Short Answer

Expert verified

The Graph of the equation is circle.

Step by step solution

01

Step 1. Given Information

Given that the equation is3x2+3y2=27.

02

Step 2. Graph of the equation

The squared term coefficient are equal and have same signs. So, the graph of the equation is circle.

03

Step 3. Graph of the equation

The standard form of circle is (x-h)2+(y-k)2=r2. On converting the equation in the standard form,

3x23+3y23=273x2+y2=9(x-0)2+(y-0)2=32

The centre of the circle is origin and radius is 3 units.

04

Step 4. Graph

On drawing the graph,

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