﻿ Definition and examples of transverse axis | define transverse axis - Free Math Dictionary Online

# Transverse Axis

## Definition of Transverse Axis

The segment of length 2a whose endpoints are the vertices of a hyperbola. (same definition)

### Solved Example on Transverse Axis

A. y = 0
B. y = 5
C. x = 0
D. x = 2

#### Solution:

Step 1: 4y2 - 25x2 = 100 [Equation of hyperbola.]
Step 2:y2/25 - x2 / 4 = 1 [Divide both sides by 100.]
Step 3: This is in the standard form y2 / b 2 - x2 /a = 1 of a hyperbola whose transverse axis is y - axis,
where a2 = 4 and b2 = 25.
Step 4: a = 2 and b = 5 [Solve for a, b.]
Step 5: So, the length of the transverse axis of the hyperbola is 2a = 2(2) = 4

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