a.
Slope of the given line.
a.
Answer to Problem 2PS
Slope of the line joining
Explanation of Solution
Given Information: A circle whose equation is
Calculation:
Slope of the line joining the points
So, the slope of line joining
b.
An equation of the tangent line to the circle at
b.
Answer to Problem 2PS
The equation of tangent line to the circle at
Explanation of Solution
Given Information: A circle whose equation is
Calculation:
The tangent line to the circle at
From part (a), slope of normal
So, slope of tangent
So equation of tangent line is
Since tangent line passes through
Thus, the equation of tangent line is
c.
The slope of line joining
c.
Answer to Problem 2PS
The slope of line joining
Explanation of Solution
Given Information: A circle whose equation is
Calculation:
Since the point
So coordinates of
Thus, the slope of line joining
d.
To evaluate:
d.
Answer to Problem 2PS
Explanation of Solution
Given Information: A circle whose equation is
Calculation:
Let us rewrite the fraction by rationalizing the numerator.
So,
Thus,
From part (b), the equation of tangent line to the circle at
So,
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning