If P(6, 1) be the orthocentre of the triangle whose vertices are A ( 5 , - 2 ) , B ( 8 , 3 ) and C ( h , k ) , then the point C lies on the circle:

Question

If P(6, 1) be the orthocentre of the triangle whose vertices are $A (5, - 2)$ , $B (8, 3)$ and $C (h, k)$ , then the point C lies on the circle:

Smart Achievers · Accepted Answer

(3)

$Slope of AD = 3,$ $B (8, 3)$ $C (h, k)$

$Slope of BE = 1,$ $Slope of AC = - 1,$ $Equation of AC is x + y - 3 = 0,$ $point C is (- 4, 7)$

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