PAL Worksheet 1: Distances and Circles | University of Vermont - Edubirdie

University:
University of Vermont
Course:
MATH 1034 | Pre-Calculus Mathematics
Academic year:

2024
Views:

394

Pages:

1
Author:

Aubrie Juarez

PAL Worksheet 1 1. Find all the points having x-coordinate 3 whose distance from the point (−1, 1) is √ 65. 2. Consider the circle whose equation is (x − 3)2 + (y − 5)2 = 30. a. Where (if anywhere) does the circle intersect the x-axis? b. Where (if anywhere) does the circle intersect the line x = 7? c. Does the point (7, 1) lie inside the circle, outside the circle, or on the circle? Explain how you determine your answer. 3. A circle contains the points (−6, −7) and (2, 1) on opposite ends of a diagonal. Find the equation of the circle. 4. The graph of (x − 3)2 + (y − 4)2 = 25 intersects the x- and y-axes at the origin and at two other points. Find the distance between these other points. 5. The center of a circle is on the line y = 2x, and the points (−2, 2) and (4, −4) are on the circle. Find the equation of the circle.

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