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Chapter 6: Q. 5 (page 437)

Discuss the equation x2+y2-2x+4y-4=0. Graph it.

Short Answer

Expert verified

The graph of the equation is

Step by step solution

01

Step 1. Given Information

We are given the equation x2+y2-2x+4y-4=0and we need to graph the equation.

02

Step 2. Simplifying the equation

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

Simplifying the given equation we get:

role="math" localid="1646386481597" 鈬�x2+y2-2x+4y-4=0鈬�x2-2x+1+y2+4y+4=1+4+4鈬�(x-1)2+(y+2)2=9鈬�(x-1)2+(y+2)2=(3)2

Comparing the equation with the standard form we get the center of the circle is at(1,-2)and radius is3units.

03

Step 3. Plotting the graph

The graph of the equation is:

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