PYQ Vault

Orthocentre of a triangle with three given vertices

The same question, asked 2 times: 1 Feb 2023*, 15 Apr 2023. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    1 Feb 2023

    76
    If the ortho centre of the triangle, whose vertices are (1,2)(2,3)(1,2)(2,3) and (3,1)(3,1) is (α,β)(\alpha,\beta), then the quadratic equation whose roots are α+4β\alpha + 4\beta and 4α+β4\alpha + \beta, is

    Tap an option to check your answer.

  2. Question 2

    15 Apr 2023

    75
    If (α,β)(\alpha,\beta) is the orthocentre of the triangle ABCABC with vertices A(3,−7),B(−1,2)A(3, - 7),B( - 1,2) and C(4,5)C(4,5), then 9α−6β+609\alpha - 6\beta + 60 is equal to:

    Tap an option to check your answer.