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Chapter 11: Q. 11.53 (page 1126)

Graphx216-y24=1

Short Answer

Expert verified

The plotted graph ofx216-y24=1is given below

Step by step solution

01

Step 1. Given information 

Here equation of the hyperbola is given.

we have to plot the graph of the given hyperbola.

02

Step .2 Calculations for plotting hyperbola

The equation in standard form is x216-y24=1. Here x2 is positive hence transverse axis is on x-axis and horizontal. Since a2=16thena卤4.The vertices -4,0and4,0are on the x-axis .Since a=卤4,the rectangle intersects at x-axis at the vertices and b=卤2,he rectangle intersects at y-axis at 0,2and0,-2. Asymptotes are y=24xandy=-24x.

03

Step.3 Graph of hyperbola

The graph of the hyperbolax216-y24=1is given below

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