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(a)

Definition of hyperbola :

A hyperbola is set of all points $\"\"$ for which the absolute value of the difference between the distances from two distinct fixed points $\"\"$ is constant.

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(b)

The standard forms of hyperbola.

The transverse axis is horizontal: $\"\"$ .

The transverse axis is vertical : $\"\"$ .

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(c)

The transverse axis is horizontal then asymptotes are $\"\"$ .

The transverse axis is vertical then asymptotes are $\"\"$ .

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(a) A hyperbola is set of all points $\"\"$ for which the absolute value of the difference between the distances from two distinct fixed points $\"\"$ is constant.

(b) The transverse axis is horizontal : $\"\"$ .

The transverse axis is vertical : $\"\"$ .

(c) The transverse axis is horizontal then asymptotes are $\"\"$ .

The transverse axis is vertical then asymptotes are $\"\"$ .