jee-main 2025 Q15

jee-main · India · session1_29jan_shift2 Circles Chord Length and Chord Properties

Let a circle $C$ pass through the points $( 4,2 )$ and $( 0,2 )$, and its centre lie on $3 x + 2 y + 2 = 0$. Then the length of the chord, of the circle $C$, whose mid-point is $( 1,2 )$, is :
(1) $\sqrt { 3 }$
(2) $2 \sqrt { 2 }$
(3) $2 \sqrt { 3 }$
(4) $4 \sqrt { 2 }$

Let a circle $C$ pass through the points $( 4,2 )$ and $( 0,2 )$, and its centre lie on $3 x + 2 y + 2 = 0$. Then the length of the chord, of the circle $C$, whose mid-point is $( 1,2 )$, is :\\
(1) $\sqrt { 3 }$\\
(2) $2 \sqrt { 2 }$\\
(3) $2 \sqrt { 3 }$\\
(4) $4 \sqrt { 2 }$

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