Let A α , - 2 , B α , 6 and C α 4 , - 2 be vertices of a ∆ A B C . If 5 , α 4 is the circumcentre of ∆ A B C , then which of the following is NOT correct about ∆ A B C

Step-by-step solution

Given, A α , - 2 ,   B α , 6   &   C α 4 , - 2 Now slope of A C = 0 and slope of A B = 8 0 → ∞ Now we can see A C is perpendicular to A B . So, ∆ A B C is right angled at A . So, Circumcentre = mid point of B C = 5 α 8 , 2 Now given circumcentre ≡ 5 , α 4 So on comparing we get, 5 α 8 = 5   &   α 4 = 2 ⇒ α = 8 Now plotting the diagram and finding the sides with distance formula we get, Area = 1 2 6 8 = 24 Perimete