alleryA circle is drawn with the segment joining (2, 3) and (6, 5) as a diameter. The centre of the circle has coordinates:
A(4, 4)
B(2, 3)
C(6, 5)
D(8, 8)
Answer & Solution
Correct answer: A. (4, 4)
1. The centre of a circle is the midpoint of any diameter.
2. Midpoint of (2, 3) and (6, 5) = ((2+6)/2, (3+5)/2) = (4, 4).
3. So the centre is at (4, 4).
4. The other points lie either at the endpoints or are not midpoints.
5. So the centre's coordinates are (4, 4).
_Source: SCERT Kerala Std X Mathematics Part-2, Chapter 8-9 (pp 200-219, 2019 ed.)._
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