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Find the centre and radius of the circle: (x-12)2+(y+13)2=136 - Mathematics and Statistics

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Question

Find the centre and radius of the circle:

`(x - 1/2)^2 + (y + 1/3)^2 = 1/36`

Sum
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Solution

Comparing the equation `(x - 1/2)^2 + (y + 1/3)^2 = 1/36`

with (x – h)2 + (y – k)2 = r2, we get,

h = `1/2`, k = `-1/3` and r2 = `1/36`

∴ centre is (h, k), i.e., `(1/2, -1/3)`

and radius = r = `1/6`

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Equation of a Circle in some special cases
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Chapter 6: Circle - Exercise 6.1 [Page 129]

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