🛠️ JEE➗ Maths

A line segment \(A B\) of length \(\lambda\) moves such that the points \(A\) and \(B\) remain on the periphery of a cir…

Q1

A line segment \(A B\) of length \(\lambda\) moves such that the points \(A\) and \(B\) remain on the periphery of a circle of radius \(\lambda\). Then the locus of the point, that divides the line segment \(A B\) in the ratio \(2: 3\), is circle of radius


[JEE Main 2023, 10 Apr (Shift 1)]

a

\(\frac{3}{5} \lambda\)

b

\(\frac{\sqrt{19}}{7} \lambda\)

c

\(\frac{2}{3} \lambda\)

d

\(\frac{\sqrt{19}}{5} \lambda\)

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