If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is (α,β), then the quadratic equation whose roots are α+4β and 4α+β, is:

Coordinate Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 1 Feb, Morning shift · Q5543

JEE Main 20231 Feb, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is

(\alpha,\beta)

, then the quadratic equation whose roots are

\alpha+4\beta

and

4\alpha+\beta

, is :

JEE Main 2023 · 1 Feb, Morning shift · Q5543

JEE Main 20231 Feb, Morning shiftMathematicsMediumCoordinate Geometry478× since 2002

If the orthocentre of the triangle, whose vertices are (1, 2), (2, 3) and (3, 1) is

(\alpha,\beta)

, then the quadratic equation whose roots are

\alpha+4\beta

and

4\alpha+\beta

, is :