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Chapter 1: Q29. (page 51)

Find the standard form of the equation of the circle whose center and radius are given.

h,k=-1,-2andr=1

Short Answer

Expert verified

The standard form of the circle is .

x2+y2+2x+4y=-4

Step by step solution

01

Step 1. Given information.

Consider the given center and radius of the circle h,k=-1,-2and r=1.

02

Step 2. The standard form of the equation of circle is x-h2+y-k2=r2.

x+12+y+22=12x2+1+2x+y2+4+4y=1x2+y2+2x+4y+5=1x2+y2+2x+4y=-4

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