To find:The centre, vertices, foci, and equations of the asymptotes of the hyperbola and the sketch of the hyperbola.
Answer to Problem 34E
The centre, vertices, foci, and equations of the asymptotes of the hyperbola are
Explanation of Solution
Given information:
The equation is
Calculation:
Simplified the above equation as,
The standard equation of the hyperbola is,
Compare the equation (1) and (2).
Therefore, the centre is
The transverse axis of the hyperbola is horizontal.
Calculate the value of
The vertices and foci are given as
The equation of the asymptotes of the hyperbola is,
Therefore, the equations of the asymptotes are
Draw the sketch for the hyperbola by using TI-83 calculator,
Figure-(1)
Therefore, the centre, vertices, foci, and equations of the asymptotes of the hyperbola are
Chapter 10 Solutions
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