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2 answers:
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Answer:
see explanation
Step-by-step explanation:
The equation of a circle in general form is
x² + y² + 2gx + 2fy + c = 0
with centre = (- g, - f) and radius =
Given
2x² + 2y² + 6x - 8y + 12 = 0 ← divide through by 2
x² + y² + 3x - 4y + 6 = 0 ← in general form
Compare like terms
2g = 3 ⇒ g =
2f = - 4 ⇒ f = - 2 and c = 6, thus
centre = ( - , 2 ) and
radius =
= =
=
