jee-main 2021 Q64

jee-main · India · session2_18mar_shift2 Straight Lines & Coordinate Geometry Triangle Properties and Special Points

Let the centroid of an equilateral triangle $ABC$ be at the origin. Let one of the sides of the equilateral triangle be along the straight line $x + y = 3$. If $R$ and $r$ be the radius of circumcircle and incircle respectively of $\triangle ABC$, then $( R + r )$ is equal to:
(1) $\frac { 9 } { \sqrt { 2 } }$
(2) $7 \sqrt { 2 }$
(3) $2 \sqrt { 2 }$
(4) $3 \sqrt { 2 }$

Let the centroid of an equilateral triangle $ABC$ be at the origin. Let one of the sides of the equilateral triangle be along the straight line $x + y = 3$. If $R$ and $r$ be the radius of circumcircle and incircle respectively of $\triangle ABC$, then $( R + r )$ is equal to:\\
(1) $\frac { 9 } { \sqrt { 2 } }$\\
(2) $7 \sqrt { 2 }$\\
(3) $2 \sqrt { 2 }$\\
(4) $3 \sqrt { 2 }$

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