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Q.

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is

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a

2

b

13/6

c

13/12

d

13/8

answer is A.

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Detailed Solution

Here 2b=5 and 2ae=13

∵b2=a2e2−1⇒ 254=1694−a2⇒a2=144/4=36⇒a=6

e=13/12

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If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the eccentricity of the hyperbola is