jee-main 2025 Q15

jee-main · India · session1_23jan_shift1 Straight Lines & Coordinate Geometry Triangle Properties and Special Points
Let the area of a $\triangle P Q R$ with vertices $P ( 5,4 ) , Q ( - 2,4 )$ and $R ( a , b )$ be 35 square units. If its orthocenter and centroid are $O \left( 2 , \frac { 14 } { 5 } \right)$ and $C ( c , d )$ respectively, then $c + 2 d$ is equal to
(1) $\frac { 8 } { 3 }$
(2) $\frac { 7 } { 3 }$
(3) 2
(4) 3
Let the area of a $\triangle P Q R$ with vertices $P ( 5,4 ) , Q ( - 2,4 )$ and $R ( a , b )$ be 35 square units. If its orthocenter and centroid are $O \left( 2 , \frac { 14 } { 5 } \right)$ and $C ( c , d )$ respectively, then $c + 2 d$ is equal to\\
(1) $\frac { 8 } { 3 }$\\
(2) $\frac { 7 } { 3 }$\\
(3) 2\\
(4) 3