Transverse Axis
Definition of Transverse Axis
The segment of length 2a whose endpoints are the vertices of a hyperbola. (same definition)
Video Examples: Find Equation Gvien Focus, Transverse Axis Length
Solved Example on Transverse Axis
Ques: Find the length of transverse axis of the hyperbola 4y^{2}  25x^{2} = 100.
Choices:
A. y = 0B. y = 5
C. x = 0
D. x = 2
Correct Answer: D
Solution:

Step 1: 4y^{2}  25x^{2} = 100 [Equation of hyperbola.]
Step 2:y^{2}/25  x^{2} / 4 = 1 [Divide both sides by 100.]
Step 3: This is in the standard form y^{2} / b ^{2}  x^{2} /a = 1 of a hyperbola whose transverse axis is y  axis,
where a^{2} = 4 and b^{2} = 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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