Question

What is the transverse axis of a hyperbola?

Answer 1

Hint: In this problem, we can see about the transverse axis of the hyperbola. We should know that the transverse axis is the axis of a hyperbola that passes through the two foci. The straight line joining the vertices A and A’ is called the transverse axis of the hyperbola, where AA’ line segment joining the vertices of a hyperbola is called the transverse axis of the hyperbola. We can now see briefly about it.

Complete step by step solution:
Here we can see about the transverse axis of the hyperbola.
We should know that the transverse axis is the axis of a hyperbola that passes through the two foci.
The straight line joining the vertices A and A’ is called the transverse axis of the hyperbola, where AA’ line segment joining the vertices of a hyperbola is called the transverse axis of the hyperbola.
The transverse axis of the hyperbola \[\dfrac{{{x}^{2}}}{{{a}^{2}}}-\dfrac{{{y}^{2}}}{{{b}^{2}}}=1\] along the x-axis and its length is 2a.
We can also note that the straight line through the centre which is perpendicular to the transverse axis does not meet the hyperbola in real point.
We can now draw the diagram.

Note: We should always remember that the transverse axis is the axis of a hyperbola that passes through the two foci. The straight line joining the vertices A and A’ is called the transverse axis of the hyperbola, where AA’ line segment joining the vertices of a hyperbola is called the transverse axis of the hyperbola.