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The equation 3x^2+4y^2-18+16 y+43=k rep...

The equation `3x^2+4y^2-18+16 y+43=k` represents an empty set, if `k<0` represents an ellipse, if `k >0` represents a point, if `k=0` cannot represent a real pair of straight lines for any value of `k`

A

represent an empty set, if `klt0`

B

represent an ellipse if `kgt0`

C

represent a poin, if k=0

D

cannot repreent a real paor of straight lines for any value of k

Text Solution

Verified by Experts

`(sqrt(3)x-3sqrt(3))^(2)+(2y+4)^(2)=k`
So, no locus for `klt0`, ellipse for `kgt0`, and point k =0 ,
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