Question

Find the centre of the circle, if the end points of the diameter are (3, - 10), (2,-3) and (1, 4)

Answer 1

Answer:

EQUATION OF CIRCLE IN DIAMETRIC FORM IS

(x–x1)(x–x2) + (y–y1)(y–y2) = 0

take any two set of coordinates and solve

you will get an equation of the form

x²+y²+2gx+2fy+c=0

and centre would be (–2g/2 , –2f/2)

i.e.( –g , –f)

THE ANSWER YOU WOULD GET WOULD BE CENTRE = (5/2 , –13/2)

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