jee-main 2022 Q63

jee-main · India · session2_28jul_shift2 Circles Area and Geometric Measurement Involving Circles
Let the tangents at two points $A$ and $B$ on the circle $x ^ { 2 } + y ^ { 2 } - 4 x + 3 = 0$ meet at origin $O ( 0,0 )$. Then the area of the triangle of $O A B$ is
(1) $\frac { 3 \sqrt { 3 } } { 2 }$
(2) $\frac { 3 \sqrt { 3 } } { 4 }$
(3) $\frac { 3 } { 2 \sqrt { 3 } }$
(4) $\frac { 3 } { 4 \sqrt { 3 } }$
Let the tangents at two points $A$ and $B$ on the circle $x ^ { 2 } + y ^ { 2 } - 4 x + 3 = 0$ meet at origin $O ( 0,0 )$. Then the area of the triangle of $O A B$ is\\
(1) $\frac { 3 \sqrt { 3 } } { 2 }$\\
(2) $\frac { 3 \sqrt { 3 } } { 4 }$\\
(3) $\frac { 3 } { 2 \sqrt { 3 } }$\\
(4) $\frac { 3 } { 4 \sqrt { 3 } }$