Let A be the point (1, 2) and B be any point on the curve x² + y²… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 10 April, Shift 2Circle Equation & Properties

Let A be the point $\left(1, 2\right)$ 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 AB in the ratio $3:2$ is the point C $\left(\alpha, \beta\right)$ , then the length of the line segment AC is:

A
$\frac{6 \sqrt{5}}{5}$
B
$\frac{2 \sqrt{5}}{5}$
C
$\frac{3 \sqrt{5}}{5}$
D
$\frac{4 \sqrt{5}}{5}$

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