if co-ordinate of and of diameter are( - 4,0)and (4,0) then what are the co-ordinate of centre of circle?
plz give right answer it's my TERM-1 exam
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Let AB be a diameter of the circle having its centre at C(1, -3) such that the coordinates of one end A are (4, -1).
Let the coordinates of B be (x,y).
Since C is the mid-point of AB. Therefore,the coordinates of C are(
2
x+4
,
2
y−1
).
But, the coordinates of C are given to be (1,-3).
∴
2
x+4
=1and
2y−1
=−3
⇒x+4=2andy−1=−6
⇒x=−2andy=−5
Hence,the coordinates of B are (-2, -5).
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