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Equation of a circle is 3x^(2) - 4y^(2) ...

Equation of a circle is `3x^(2) - 4y^(2) - 6x -21=0` then the INCORRECT statement about this conic is

A

eccentricity of the conic is `sqrt(7)/2`

B

length of latus of rectum is `3sqrt(2)`

C

length of conjugate axis is `2sqrt(6)`

D

distance between focii is `2sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
D
`3(x^(2) - 2x+1) - 4y^(2) = 24`
`(x-1)^(2)/8 - y^(2)/6=1`
`e=sqrt(1+ 6/8) = sqrt(7)/2`
L.R. `=(2b^(2))/a = (2 xx 6)/(2sqrt(2)) = 3sqrt(2)`
`2ae = 2 xx 2sqrt(2) xx sqrt(7)/2 = sqrt(56)`
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