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Chapter 11: Q. 177 (page 1135)

In the following exercises, graph each question.

x2+y2-4x+10y-7=0

Short Answer

Expert verified

Given equation represents a circle with center as(2,-5)and radius6units.

Step by step solution

01

Understand the shape of the conic from the given equation.

x2+y2-4x+10y-7=0

Since,x2andy2both the terms have the same coefficients, conic will be a circle.

02

Convert the equation into standard form,

x2+y2-4x+10y-7=0(x2-4x+4)+(y2+10y+25)-29-7=0(x-2)2+(y+5)2-36=0(x-2)2+(y+5)2=62

Compare this equation with the standard equation of a circle,

(x-h)2+(y-k)2=r2

Where (h,k)is the center of the circle andris the radius.

Therefore, center of the circle 鈫�(2,-5)

And the radius of the circle =6

03

Graph the equation.

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