To find: The equation of the conic on the given graph.
Answer to Problem 30RE
The equation of the conic is:
Explanation of Solution
Given information: A graph is given which represents a hyperbola
Calculation:
Vertex=
Asymptotes=
From the given graph;
Centre (h,k) = (1,0) i.e. h=1; k=0
And vertices are; (0,0) and (2,0) (1
Now, we know that;
Vertex=
On comparing 1 and 2,
0=1-a and 2=1+a a=1 and a=1
Similarly, the asymptotes of the ellipse from the graph are:
Asymptote passing through (1,0) and (0,-1) is
Another asymptote passing through (1,0) and (0,1) is:
Now, we know that;
Asymptote;
On comparing 3, 4, 5, we get b=1,
Finally, the equation of given conic is
Hence, The equation of the conic is:
Chapter 11 Solutions
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