jee-main 2024 Q66

jee-main · India · session2_05apr_shift2 Circles Circle Equation Derivation

Let $A B C D$ and $A E F G$ be squares of side 4 and 2 units, respectively. The point $E$ is on the line segment AB and the point F is on the diagonal AC . Then the radius r of the circle passing through the point F and touching the line segments BC and CD satisfies:
(1) $r = 0$
(2) $2 r ^ { 2 } - 4 r + 1 = 0$
(3) $2 r ^ { 2 } - 8 r + 7 = 0$
(4) $r ^ { 2 } - 8 r + 8 = 0$

Let $A B C D$ and $A E F G$ be squares of side 4 and 2 units, respectively. The point $E$ is on the line segment AB and the point F is on the diagonal AC . Then the radius r of the circle passing through the point F and touching the line segments BC and CD satisfies:\\
(1) $r = 0$\\
(2) $2 r ^ { 2 } - 4 r + 1 = 0$\\
(3) $2 r ^ { 2 } - 8 r + 7 = 0$\\
(4) $r ^ { 2 } - 8 r + 8 = 0$

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