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Chapter 11: Q. 298 (page 1158)

In the following exercises, graph

y249-x216=1

Short Answer

Expert verified

The graph of hyperbola is

Step by step solution

01

Step 1. Given Information

The given equation isy249-x216=1

02

Step 2. Explanation

As y2term is positive, the transverse axis is vertical and the vertices are as follows,

a2=49a=卤49a=卤7

Since, a=卤7, the vertices on y-axis are localid="1645377742239" (0,-7)and(0,7)and b=卤4, the rectangle will intersect x-axis at (-4,0)and(4,0)

03

Step 3. Calculation and Graph

We will find the equation of asymptote as follows,

y=abxy=74xandy=-abxy=-74x

Sketch the asymptote through the diagonal and the vertices on the graph.

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