Given statement 'the transverse axis is the line joining the two vertices of a hyperbola.'
In this question, we need to complete the statement 'the transverse axis is the line joining the two vertices of an(n) ______.'
We know that a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.
It is nothing but the set of all points (x,y) in a plane such that the difference of the distances between (x,y) and the foci is a positive constant.
In hyperbola, the transverse axis is a line that passes through the center of the hyperbola and has vertices as its endpoints.
Therefore, the transverse axis is the line joining the two vertices of a hyperbola.
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