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

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Straight Lines and Pair of Straight Lines

JEE Main 2023 · 1 Feb, Morning shift · Q5543

MathematicsMedium128×since 2002Q5543

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

MathematicsMedium128×since 2002Q5543

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 :