Coordinate Geometry: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q15

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumCoordinate Geometry478× since 2002

Let the area of a

\triangle PQR

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 + 2d

is equal to