Question

The circumcentre of the triangle formed by (0,0) (4,0) (0,6)​

Answer 1

Answer:

Let A(0,0),B(3,0) and C(0,4) be the coordinates

and coordinates of circumcentre be O(h,k)

Then OA=OB=OC

⇒(OA) 2 =(OB) 2 =(OC) 2

⇒(h−0) 2 +(k−0) 2 =(3−h) 2 +(0−k) 2 =(0−h) 2 +(4−k)2

Solving this we get

h= 3/2 ,k=2

Step-by-step explanation:

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