In this lesson, we will learn how to find the equation of a sphere given its center and how to find the center and the radius given the sphere’s equation.
Students will be able to
Q1:
Find the equation of a sphere that passes through the points 𝐴(9,0,0), 𝐵(3,13,5), and 𝐶(11,0,10), given that its center lies on the 𝑦𝑧-plane.
Q2:
Give the equation of the sphere of center (11,8,−5) and radius 3 in standard form.
Q3:
Which of the following is the equation of the sphere of center (8,−15,10) and passing through (−14,13,−14)?
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