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Circle question

2023 · 10 Apr · Shift 1 · Q35

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PYQ Library
JEE Main
Mathematics
Circle
2023 · 10 Apr · Shift 1 · Q35

Circle question

2023 · 10 Apr · Shift 1 · Q35

JEE MainMathematicsCircleMCQ+4 / −1

A line segment AB 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 AB in the ratio 2 : 3, is a circle of radius :

A
${2 \over 3}\lambda$
B
${3 \over 5}\lambda$
C
${{\sqrt {19} } \over 7}\lambda$
D
${{\sqrt {19} } \over 5}\lambda$

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