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Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general form. Show your work.

1 Answer

3 votes

Answer:


x^2 + y^2 + 2x - 2y - 7 = 0

Explanation:

Given

See attachment for circle

Required

The circle equation

First, we get the radius of the circle.

From the attachment, we have:


r = 3

Next, the center of the circle


(h,k) = (-1,1)

The equation of the circle is:


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

This gives:


(x - -1)^2 + (y - 1)^2 = 3^2


(x +1)^2 + (y - 1)^2 = 3^2

Expand


x^2 + 2x + 1 + y^2 - 2y + 1 = 9

Collect like terms


x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0


x^2 + y^2 + 2x - 2y - 7 = 0

Hence, the equation in general form is:


x^2 + y^2 + 2x - 2y - 7 = 0

Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general-example-1
User Gagandeep Singh
by
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