Chapter 10.6, Problem 38E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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The line

To determine

**To explain:**

Find the point of intersection of the line

Explanation

The given line is

Write the point form of the line.

Simplifying,

From this,

It is given that the line intersects the sphere in two points.

The equation of the sphere is

Substitute the value of

Expanding the equation,

Simplifying,

Dividing by

Cancelling the common factors,

Finding the roots,

Substitute

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