- #1

Mark53

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## Homework Statement

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Suppose a quadratic equation in 3 variables is put into a standard form represents a hyperboloid of one sheet. This hyperboloid has the property that:

• the cross section through z= 0 is a circle of radius 1;

• the cross section through x= 1 is the two straight lines given (in the plane x = 1) by y = ± (1/2) z

What is the standard form and the original equation in quadratic form?

## Homework Equations

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hyperboloid of one sheet is given by

x^2/a^2+y^2/b^2-z^2/c^2=1

## The Attempt at a Solution

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using z=0

x^2/a^2+y^2/b^2=1 which is an ellipse

Given that it is a circle it means that b=a which means that it equals 1 as that is what the radius is.

x^2+y^2-z^2/c^2=1

How would I find C from here

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