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The distance between two directrices of ...

The distance between two directrices of a rectangular hyperbola is 10 units. Find the distance between its foci.

Text Solution

Verified by Experts

The correct Answer is:
20
Distance between the two directrices is
`(2a)/(e)=10" units"`
or a = 5e
Now, distance between the foci is
`2ac=10e^(2)=10(2)=20`
`" "("As rectangular hyperbola, e" = sqrt2)`
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