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1. |
The equation of a circle is 3x2 + 3y2 – 6x + 12y – 24 = 0. Find its center and radius. |
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A. |
(1, –2);  |
B. |
(–1, 2);  |
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C. |
(–1, 2); 13 |
D. |
(1, –2); 13 |
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Hint |
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2. |
Write the general form of the equation of the circle that passes through the points at (4, 2), (–3, 1), and (–2, –6). |
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A. |
x2 + y2 + 2x + 4y – 20 = 0 |
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B. |
x2 + y2 – 2x + 4y – 20 = 0 |
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C. |
x2 + y2 – 2x – 4y + 20 = 0 |
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D. |
x2 + y2 + 2x – 4y – 20 = 0 |
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Hint |
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3. |
Write the equation of a circle that passes through the origin and has its center at (–3, –2). |
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A. |
(x – 3)2 + (y – 2)2 = 13 |
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B. |
(x + 3)2 + (y + 2)2 = 13 |
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C. |
(x + 3)2 + (y + 2)2 = 5 |
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D. |
(x – 3)2 + (y + 2)2 = 10 |
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Hint |
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4. |
Write the equation of the circle whose diameter has endpoints at (3, –1) and (–9, 5). |
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A. |
(x – 3)2 + (y + 2)2 = 13 |
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B. |
(x – 3)2 + (y + 2)2 = 45 |
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C. |
(x + 3)2 + (y – 2)2 = 13 |
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D. |
(x + 3)2 + (y – 2)2 = 45 |
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Hint |
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5. |
Write the equation of a circle that has a diameter with endpoints at (1, 0) and (5, 4). |
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A. |
(x + 3) 2 + (y + 2) 2 = 8 |
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B. |
(x - 3) 2 + (y - 2) 2 = 64 |
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C. |
(x + 3) 2 + (y - 2) 2 = 64 |
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D. |
(x - 3) 2 + (y - 2) 2 = 8 |
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Hint |
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