Find equations for all the planes that intersect the y-axis at y =1 and the z-axis at z =2, and are tangent to the sphere (x−2)^2 + y^2 +z^2 =4. Do not use calculus.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Find equations for all the planes that intersect the y-axis at y =1 and the z-axis at z =2, and are tangent to the sphere (x−2)^2 + y^2 +z^2 =4. Do not use calculus.
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In the first step, when you assumed the equation of the plane is az+by+cz=1 where did the 1 come from?

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