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Chapter 10: Q. 8 (page 667)

For a hyperbola, the foci lie on a line called the _______________

Short Answer

Expert verified

For a hyperbola, the foci lie on a line called the Transverse axis.

Step by step solution

01

Step 1. Concept

A Hyperbola is the collection of all points in the plane, the difference of whose

distances from two fixed points, called the foci, is a constant.

The above figure is the graph of the hyperbolax29-y216=1with focii at (5,0)and (-5,0).

The line containing the foci is called the Transverse axis.

Here the foci lie on the x-axis . Hence here the transverse axis is thex-axis.

02

Step 2. Conclusion

For a hyperbola, the foci lie on a line called the Transverse axis.

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