
To find:The centre, vertices, foci, and equations of the asymptotes of the hyperbola and the sketch of the hyperbola.

Answer to Problem 31E
The centre, vertices, foci, and equations of the asymptotes of the hyperbola are
Explanation of Solution
Given information:
The equation is
Calculation:
The standard form of the equation is,
Simplify the given equation.
Compare 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 the equations of asymptotes.
Figure-(1)
Therefore, the centre, vertices, foci, and equations of the asymptotes of the hyperbola are
Chapter 10 Solutions
EBK PRECALCULUS W/LIMITS
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