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Find the centre and radius of the circle: (x − 5)2 + (y − 3)2 = 20 - Mathematics and Statistics

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प्रश्न

Find the centre and radius of the circle:

(x − 5)2 + (y − 3)2 = 20

बेरीज
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उत्तर

Given equation of the circle is

(x − 5)2 + (y − 3)2 = 20

∴ (x − 5)2 + (y − 3)2 = `(sqrt(20))^2`

Comparing this equation with

(x − h)2 + (y − k)2 = r2, we get

h = 5, k = 3 and r = `sqrt(20) = 2sqrt(5)`

∴ Centre of the circle = (h, k) = (5, 3)

and radius of the circle = `2sqrt(5)`.

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Different Forms of Equation of a Circle
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Circle - Exercise 6.1 [पृष्ठ १२९]

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