Concept explainers
To calculate: To show that for any value of t, the line tangent to the circle at
Answer to Problem 50E
The slope of radius and the slope of the line of tangent are perpendicular to each other.
Explanation of Solution
Given Information: The coordinates of the circle are
Calculation:
The slope of the line of tangent is,
The slope of the radius is,
Clearly, the slope of radius and the slope of the line of tangent are perpendicular to each other.
The slope of radius and the slope of the line of tangent are perpendicular to each other.
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Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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