If the orthocentre of a triangle, whose vertices are (1,2), (2,3), and (3,1) is (α, β), then the quadratic equ…

Question

If the orthocentre of a 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:

Accepted Answer

D. $$ x^2 - 20x + 99 = 0 $$

Answer

A. $$ x^2 - 19x + 90 = 0 $$

Answer

B. $$ x^2 - 18x + 80 = 0 $$

Answer

C. $$ x^2 - 22x + 120 = 0 $$

Answer & step-by-step solution

Practice more Slope & Angle Between Lines questions

Related questions