JEE Math Practice Question
Let A be the point $$(1,2)$$ and B be any point on the curve $$x^{2}+y^{2}=16$$. If the centre of the locus of the point P, which divides the line segment $$\mathrm{AB}$$ in the ratio $$3: 2$$ is the point C$$(\alpha, \beta)$$, then the length of the line segment $$\mathrm{AC}$$ is :
- A.$$\frac{3 \sqrt{5}}{5}$$
- B.$$\frac{6 \sqrt{5}}{5}$$
- C.$$\frac{2 \sqrt{5}}{5}$$
- D.$$\frac{4 \sqrt{5}}{5}$$
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