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Q.

A Hyperbola whose transverse axis is along the major axis of the conic x23+y24=4 and has vertices at the foci of this conic. If the eccentricity of the hyperbola is 32, then which of the following points does not lie on it ?

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a

5,  23

b

0,  2

c

5,  22

d

10,  23

answer is B.

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Detailed Solution

x212+y216=1    e=12

s=(0,  2)         s1=(0,2)Length  ofthetransverseaxis                  =  2b=4b=2   (b>a)           a2=4941=5  Req.eq  is  x25y24=1.

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