A) \[ab<0\]
B) \[ab>0\]
C) \[ab<-1\]
D) \[ab<-2\]
Correct Answer: B
Solution :
\[\because \] Both parabola and circle pass through origin. The equation of circle can be written as\[{{(x+b)}^{2}}+{{y}^{2}}={{b}^{2}}\]. For more than one common tangents, the focus \[(a,\,0)\] and the centre (-b, 0) should lie on opposite side of origin. \[\therefore \,\,a(-b)<0\Rightarrow ab>0\]You need to login to perform this action.
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