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Question

If the distance between the foci and the distance between two directrices of the hyperbola x2a2y2b2=1 are in the ratio 3:2, then b:a is


Correct Answer
A
1:2
Your Answer
B
3:2
Your Answer
C
1:2
Your Answer
D
2:1

Solution

The correct option is D 1:2
Distance between foci =2ae
Distance between directrices =2ae
2ae22a=32
e2=32
1+b2a2=32 
b2a2=12
ba=12

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