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

Find the length of transverse axis of the hyperbola 4y2 - 25x2 = 100. 
Choices: 
A. y = 0
B. y = 5
C. x = 0
D. x = 2  
Correct Answer: D
Solution:
Step 1: 4y2 - 25x2 = 100      [Equation of hyperbola.]
Step 2:        [Divide both sides by 100.]
Step 3: This is in the standard form  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.

Related Terms for Transverse Axis

  • Segment
  • Vertex
  • Hyperbola
  • Length
  • Endpoints