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What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units
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Answer
Find the radius of a circle whose equation is (x – 7) ² + (y – 10) ² = 4.
With proof
It is an equation of a circle
where the center is at the point (h, k).
and r is the radius of the circle.
Now the equation is given in question
(x – 7) ² + (y – 10) ² = 4
write it as
(x – 7) ² + (y – 10) ² = 2²
compare this equation with the equation of the circle
which we receive
r = 2 units
Thus the radius of a unit of a circle is 2 units.
Option (a) is correct.
Hence created
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