isi-entrance 2013 Q50

isi-entrance · India 4 marks Circles Circle-Related Locus Problems
A triangle $ABC$ has a fixed base $BC$. If $AB : AC = 1 : 2$, then the locus of the vertex $A$ is
(A) a circle whose centre is the midpoint of $BC$
(B) a circle whose centre is on the line $BC$ but not the midpoint of $BC$
(C) a straight line
(D) none of the above.
A triangle $ABC$ has a fixed base $BC$. If $AB : AC = 1 : 2$, then the locus of the vertex $A$ is\\
(A) a circle whose centre is the midpoint of $BC$\\
(B) a circle whose centre is on the line $BC$ but not the midpoint of $BC$\\
(C) a straight line\\
(D) none of the above.