If the distance between two directrices of a rectangular hyperbola is 15, then the distance between its foci in units is:
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a
152
b
30
c
60
d
45
answer is B.
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Detailed Solution
We know that the eccentricity of a rectangular hyperbola is e=2 Distance between the directricess =2ae ,where 2a is the length of the transverse axis.So 2ae=15⇒2a=152 Distance between the foci =2ae=152×2=30.