it's option is c
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it's option is c
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Answer:
Hope this is OK for you completely
Given :-
To find :-
Concept to know :-
The centroid divides Orthocentre and circumcentre internally in ratio 2 : 1 By using this concept we can solve And here For finding Co-ordinates of Circumcentre we also have to use section formula using ratio m:n = 2:1
Section formula:-
,
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Lets Solve Now !
So,
Let the cordinates of Circumcentre be (x,y)
Cordinates of Orthocentre = (9,-6)
Now,
m : n = 2:1
Now,
, = G
(1 ,2 ) = ,
(1,2) = ,
Now, both equating to x axis , y axis
= 1
Do cross multiplication
2x + 9 = 3
2x = 3-9
2x = -6
x = -3
= 2
Do cross multiplication
2y - 6 = 6
2y = 6+6
2y = 12
y = 6
So (x,y) = (-3,6)
So, cordinates of Circumcentre is (-3,6)
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Know more:-
Centroid :- The point of intersection of three medians in a triangle is called Centroid
Incentre :- The point of conccurence of internal angular bisectors is called Incentre
Excentre :- The point of concurrence of 1 internal angular bisector 2 External angular bisectors is called excentre
Circumcentre :- The point of intersection of perpendicular bisectors of triangle is called circumcentre
Orthocentre :- The altitude of triangle are concurrent and their point of concurrence is called Orthocentre
These are the some important terms that You have to remember