A) A hyperbola
B) A parabola
C) An ellipse
D) A circle
Correct Answer: B
Solution :
Let centre \[\equiv (h,k);\]As \[{{C}_{1}}{{C}_{2}}={{r}_{1}}+{{r}_{2}}\], (Given) \[\Rightarrow \,\,\,\sqrt{{{(h-0)}^{2}}+{{(k-3)}^{2}}}=|k+2|\] Þ \[{{h}^{2}}=5(2k-1)\] Hence locus, \[{{x}^{2}}=5(2y-1)\] , which is parabola.You need to login to perform this action.
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