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lord [1]
3 years ago
6

HELP, 35 POINTS! What is the equation of the circle in general form?

Mathematics
2 answers:
katen-ka-za [31]3 years ago
4 0
I think its c.
<span>
C. x2 + y2 + 4x + 2y − 2 = 0</span>
djverab [1.8K]3 years ago
4 0
<h2>Answer:</h2>

The equation of the given circle in general form is given by:

                   Option: A

               x^2+y^2+4x+2y-44=0

<h2>Step-by-step explanation:</h2>

We know that the general equation of a circle with center at (h,k) and radius 'r' is given by:

                    (x-h)^2+(y-k)^2=r^2

Clearly from the figure we have:

The center of the circle is at (-2,-1) and radius is 7 units.

i.e. we have: (h,k)=(-2,-1) and r=7

Hence, the equation of the circle is given by:

(x-(-2))^2+(y-(-1))^2=7^2\\\\\\(x+2)^2+(y+1)^2=49

on expanding the terms we have:

x^2+4+4x+y^2+1+2y=49\\\\\\x^2+y^2+4x+2y+5-49=0\\\\\\x^2+y^2+4x+2y-44=0

         Hence, the general equation of the circle is:

                    x^2+y^2+4x+2y-44=0

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