A) A pair of straight lines
B) A circle
C) A straight line
D) None of these
Correct Answer: B
Solution :
[b] Let \[P(x,y)\] be the point dividing the join of A and B in the ratio 2 : 3 internally, then \[x=\frac{20\cos \theta +15}{5}=4\cos \theta +3\] \[\Rightarrow \cos \theta =\frac{x-3}{4}\] ?. (i) \[y=\frac{20\sin \theta +0}{5}=4\sin \theta \Rightarrow \sin \theta =\frac{y}{4}\] ? (ii) Squaring and adding (i) and (ii), we get the required locus \[{{(x-3)}^{2}}+{{y}^{2}}=16,\] which is a circle.
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