College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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What is the equation of the circle with diameter AB, where A is (-3,4) and B is (6,2)?

  1. (x-4.5)2 + (y-3)2 = 4.25

  2. (x+4.5)2 + (y-3)2 = 4.25

  3. (x-4.5)2 + (y+3)2 = 4.25

  4. (x+4.5)2 + (y+3)2 = 4.25

The correct answer is: (x+4.5)2 + (y+3)2 = 4.25

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. In this question, the diameter AB has a midpoint at (-3+6)/2 = 3 and (4+2)/2 = 3. Therefore, the center is (3,3). The radius is half of the diameter, which is (6-(-3))/2 = 9/2. So the equation of the circle is (x-3)^2 + (y-3)^2 = (9/2)^2. Simplifying, we get (x+4.5)^2 + (y+3)^2 = 20.25. Option D is the correct equation of the circle. Options A, B, and C are incorrect because they do not

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