Question

The vertices of a triangle are a(x1,x1tanθ1),b(x2,x2tanθ2),c(x3,x3tanθ3).If the circumcentre of abc coincides with the origin and h(x,y) is the orthocentre find y/x

Answer 1

Answer:

The vertices of a triangle are A(x

1

,x

1

tanθ

1

),B(x

2

,x

2

tanθ

2

) & C(x

3

,x

3

tanθ

3

). If the circumcentre O of the △ABC is at the origin & H(

x

,

y

) be its orthocentre, then

y

x

=