Let A be the point (1,2) and B be any point on... | Circle | JEE Main

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JEE MAIN 2023

10-4-2023 S2

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 $A B$ in the ratio $3: 2$ is the point $C(\alpha, \beta)$, then the length of the line segment $A C$ is

Select the correct option:

A

$\frac{6 \sqrt{5}}{5}$

B

$\frac{4 \sqrt{5}}{5}$

C

$\frac{2 \sqrt{5}}{5}$

D

$\frac{3 \sqrt{5}}{5}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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