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  

Choices: 

A. y = 0

B. y = 5

C. x = 0

D. x = 2  

Correct Answer: D

Solution:

Step 1:       [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  = 4 and  = 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

                    

Additional Links for Transverse Axis