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jaceraulerson7249
22.10.2019 •
Mathematics
By finding the radius of each circle and the distance between their centers, show that the circles x²+y²=4 and x²-4x+y²-4y+4=0 intersect. illustrate graphically.
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Ответ:
The circles do intersect.
Step-by-step explanation:
A circle is of the form
(x-h)^2+(y-k)^2=r^2
where,
h = Point on x axis of the circle center
k = Point on y axis of the circle center
So, the center of the circle is at (0,0) and radius is 2 units
The circle center is at the point (2,2) and radius is 2 units.
Hence, the circles do intersect.
Ответ: