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Chapter 9: Q. 57 (page 775)

Prove Theorem 9.20 (a). That is, show that the graph of the equation x2A2-y2B2=1satisfies Definition 9.19, where the points with coordinates (卤A2+B2,0)are the foci of the hyperbola

Short Answer

Expert verified

Hence, proved.

Step by step solution

01

Given information

The given equation of the hyperbola is,

x2A2-y2B2=1

02

Plot the graph of the hyperbola.

The graph of the hyperbola is,

The coordinates of the hyperbola are (卤A2+B2,0).

And, the foci of the parabola is (卤A2+B2,0)

Hence preoved.

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