Question

14.8.2 test (cst): conic sections which expression gives the length of the transverse axis of the hyperbola shown below? focus focus a. a + b b. a - b c. 2(a - b) d. 2(a + b)

Explanation:

Step1: Recall hyperbola property

The length of the transverse axis of a hyperbola is given by \(2a\). Here, the distance from the center of the hyperbola to a vertex is \(a\). The transverse axis passes through the two vertices of the hyperbola, so its length is the distance between the two vertices which is \(2a\). None of the given options are exactly \(2a\), but we know the relationship. In the context of the problem - solving process, we note that the standard - form relationship is key.

Answer:

None of the given options (A. \(a + b\), B. \(a - b\), C. \(2(a - b)\), D. \(2(a + b)\)) are correct as the length of the transverse axis of a hyperbola is \(2a\) and not represented by any of these expressions.