jee-main 2022 Q63

jee-main · India · session1_26jun_shift1 Straight Lines & Coordinate Geometry Area Computation in Coordinate Geometry

Let $R$ be the point $( 3,7 )$ and let $P$ and $Q$ be two points on the line $x + y = 5$ such that $PQR$ is an equilateral triangle. Then the area of $\triangle PQR$ is
(1) $\frac { 25 } { 4 \sqrt { 3 } }$
(2) $\frac { 25 \sqrt { 3 } } { 2 }$
(3) $\frac { 25 } { \sqrt { 3 } }$
(4) $\frac { 25 } { 2 \sqrt { 3 } }$

Let $R$ be the point $( 3,7 )$ and let $P$ and $Q$ be two points on the line $x + y = 5$ such that $PQR$ is an equilateral triangle. Then the area of $\triangle PQR$ is\\
(1) $\frac { 25 } { 4 \sqrt { 3 } }$\\
(2) $\frac { 25 \sqrt { 3 } } { 2 }$\\
(3) $\frac { 25 } { \sqrt { 3 } }$\\
(4) $\frac { 25 } { 2 \sqrt { 3 } }$

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