jee-main 2018 Q77

jee-main · India · 08apr Straight Lines & Coordinate Geometry Triangle Properties and Special Points

Let the orthocentre and centroid of a triangle be $A ( - 3,5 )$ and $B ( 3,3 )$ respectively. If $C$ is the circumcentre of this triangle, then the radius of the circle having line segment $A C$ as diameter, is:
(1) $\frac { 3 \sqrt { } 5 } { 2 }$
(2) $\sqrt { 10 }$
(3) $2 \sqrt { 10 }$
(4) $3 \sqrt { \frac { 5 } { 2 } }$

Let the orthocentre and centroid of a triangle be $A ( - 3,5 )$ and $B ( 3,3 )$ respectively. If $C$ is the circumcentre of this triangle, then the radius of the circle having line segment $A C$ as diameter, is:\\
(1) $\frac { 3 \sqrt { } 5 } { 2 }$\\
(2) $\sqrt { 10 }$\\
(3) $2 \sqrt { 10 }$\\
(4) $3 \sqrt { \frac { 5 } { 2 } }$

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