a.
To show: that the conic is hyperbola.
a.
Explanation of Solution
Given information:
The polar equation is
Proof: since, the polar equation in standard form is
Form the polar equation it can be observed that,
Since,
Thus, the conic is hyperbola.
Now, by using plotting point method,
Now, using the above table and join the points,
The graph can be obtained as:
b.
To draw: the hyperbola with its directrix and vertex.
b.
Explanation of Solution
Given information:
The polar equation is
Proof: since, the polar equation in standard form is
Form the polar equation it can be observed that,
Since,
Thus, the conic is hyperbola.
Now, by using plotting point method,
Now, using the above table and join the points,
The graph can be obtained as:
Interpretation: from the above graph it can be observed that the vertices of the parabola is
c.
To find : the centre of the hyperbola.
c.
Answer to Problem 26E
the centre of the hyperbola is
Explanation of Solution
Given information :
The polar equation is
Calculation : from the graph in the part (b) it can be observed that the centre of hyperbola is
Chapter 11 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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