Observe the graph:
It is a hyperbola.
Cosider option (c) equation is .
Compare with .
.
Since, the equation represents a hyperbola.
Option (c) is correct.
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=f7db2a011975c3a7242253094cf19a52.png\")
..![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=4e0c35a3395f9e0fc7855b2b2ff789ee.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=10f1eb8b6bb90893dd5ac6777566f83d.png\")
.![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=1b5ec9e6205636ea92dbf4763109837f.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=eca6384d6f10d78f93ab328b962d0296.png\")
the equation represents a hyperbola.