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). A. (x – 5)2 + (y + 3)2 = 5 B. (x – 5)2 + (y + 3)2 = 25 C. (x + 5)2 + (y – 3)2 = 5 D. (x + 5)2 + (y – 3)2 = 25 Hint 2. Write the general form of the equation of the circle that passes through the points at (4, 2), (–3, 1), and (–2, –6). A. x2 + y2 + 2x + 4y – 20 = 0 B. x2 + y2 + 2x – 4y – 20 = 0 C. x2 + y2 – 2x – 4y + 20 = 0 D. x2 + y2 – 2x + 4y – 20 = 0 Hint 3. Write the equation of the circle whose diameter has endpoints at (3, –1) and (–9, 5). A. (x + 3)2 + (y – 2)2 = 13 B. (x – 3)2 + (y + 2)2 = 13 C. (x – 3)2 + (y + 2)2 = 45 D. (x + 3)2 + (y – 2)2 = 45 Hint 4. Write the equation of a circle that has a diameter with endpoints at (1, 0) and (5, 4). A. (x + 3) 2 + (y + 2) 2 = 8 B. (x - 3) 2 + (y - 2) 2 = 8 C. (x - 3) 2 + (y - 2) 2 = 64 D. (x + 3) 2 + (y - 2) 2 = 64 Hint 5. The equation of a circle is (x - 8) 2 + (y + 3)2 = 48, find the center and the radius. A. (-8, -3); B. (8, 3); C. (8, -3); D. (-8, 3); Hint