jee-main 2025 Q66

jee-main · India · session2_03apr_shift1 Circles Circle Equation Derivation

Q66. Let a circle $C$ of radius 1 and closer to the origin be such that the lines passing through the point $( 3,2 )$ and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point $( 5,5 )$ is :
(1) $2 \sqrt { 2 }$
(2) $4 \sqrt { 2 }$
(3) 4
(4) 5

Q66. Let a circle $C$ of radius 1 and closer to the origin be such that the lines passing through the point $( 3,2 )$ and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point $( 5,5 )$ is :\\
(1) $2 \sqrt { 2 }$\\
(2) $4 \sqrt { 2 }$\\
(3) 4\\
(4) 5

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