A) a hyperbola, if k < 8
B) an ellipse, if \[k>8\]
C) a hyperbola, if \[8<k<12\]
D) None of the above
Correct Answer: C
Solution :
\[\frac{{{x}^{2}}}{12-k}+\frac{{{y}^{2}}}{8-k}=1,\]represents hyperbola, then \[12-k\]and \[8-k\]should be opposite sign therefore, \[8<k<12\]and will represent ellipse, if both \[12-k\]and \[8-k\]are positive, i.e., \[k<8.\]
You need to login to perform this action.
You will be redirected in
3 sec
