1
Question
A,B,C are three points on the curve xy - x - y - 3 = 0 which are not collinear. D,E,F are foot of perpendiculars from vertices A,B,C to the sides BC,CA and AB of △ABC respectively. If (α,α\) is incentre of △DEF then 'α' can be
A,B,C are three points on the curve xy - x - y - 3 = 0 which are not collinear. D,E,F are foot of perpendiculars from vertices A,B,C to the sides BC,CA and AB of △ABC respectively. If (α,α\) is incentre of △DEF then 'α' can be
Open in App
Solution
The correct option is C 3
Incentre of △DEF is ortho-centre of △ABC. But in a rectangular hyperbola & ortho-centre lies on hyperbola ⇒α2−2α−3=0⇒(α−3)(α+1)=0⇒α=3
Incentre of △DEF is ortho-centre of △ABC. But in a rectangular hyperbola & ortho-centre lies on hyperbola ⇒α2−2α−3=0⇒(α−3)(α+1)=0⇒α=3
Suggest Corrections
3
Similar questions