To find: the point on the
Answer to Problem 13P
The point on the circle is
Explanation of Solution
Given:
Equation
Point
Calculation:
Graph the circle
Plot the point
Consider a line passing through the point (4, 3) and the center of the circle (0, 0). From the graph note that a line passing through (4, 3) and the center (0, 0) intersects the circle at certain points.
First, find the equation of the line.
Simplify.
Now, substitute
Simplify.
Multiply both the sides by
Take square root on both the sides.
Substitute
Thus, the two points of intersection are
Thus, the solution is
Conclusion:
Therefore, the point on the circle is
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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