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Chapter 1: Q 3. (page 50)

True or False

Every equation of the form

x2+y2+ax+by+c=0has a circle as its graph.

Short Answer

Expert verified

False

Step by step solution

01

Step 1. Given information

An equation isx2+y2+ax+by+c=0.

02

Step 2. State whether the statement is true or false.

Not all equations in the form of x2+y2+ax+by+c=0have a circle on its graph.

Cases where there is no solution for x,yimply that there is no graph for the equation.

Example of this is when the sum of squares is negative.

example:

x2+y2+8=0x2+y2=-8

So, the given statement is false.

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