Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jun, Evening shift · Q5538

JEE Main 202229 Jun, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

The distance of the origin from the centroid of the triangle whose two sides have the equations

x - 2y + 1 = 0

and

2x - y - 1 = 0

and whose orthocenter is

\left( {{7 \over 3},{7 \over 3}} \right)

is :

JEE Main 2022 · 29 Jun, Evening shift · Q5538

JEE Main 202229 Jun, Evening shiftMathematicsHardCoordinate Geometry478× since 2002

The distance of the origin from the centroid of the triangle whose two sides have the equations

x - 2y + 1 = 0

and

2x - y - 1 = 0

and whose orthocenter is

\left( {{7 \over 3},{7 \over 3}} \right)

is :

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