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1. |
Write the standard form of the equation of the circle that is tangent to the y-axis and has its center at (5, –3). |
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A. |
(x + 5)2 + (y – 3)2 = 25 |
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B. |
(x + 5)2 + (y – 3)2 = 5 |
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C. |
(x – 5)2 + (y + 3)2 = 5 |
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D. |
(x – 5)2 + (y + 3)2 = 25 |
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Hint |
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2. |
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 = 5 |
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B. |
(x – 3)2 + (y + 2)2 = 10 |
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C. |
(x + 3)2 + (y + 2)2 = 13 |
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D. |
(x – 3)2 + (y – 2)2 = 13 |
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Hint |
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3. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
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A. |
(x - 1) 2 + (y - 2) 2 = 4 |
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B. |
(x + 1) 2 + (y - 3) 2 = 4 |
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C. |
(x + 1)2 + (y - 2) 2 = 4 |
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D. |
(x - 1) 2 + (y + 3) 2 = 4 |
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Hint |
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4. |
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 = 64 |
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B. |
(x - 3) 2 + (y - 2) 2 = 8 |
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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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5. |
The equation of a circle is (x - 8) 2 + (y + 3)2 = 48, find the center and the radius. |
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A. |
(-8, 3);  |
B. |
(8, -3);  |
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C. |
(-8, -3);  |
D. |
(8, 3);  |
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Hint |
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