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Find the equation of the circle with centre (1, 1) and radius

Question

Find the equation of the circle with centre $(1, 1)$ and radius $2$

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Sophia Discussed

Find the equation of the circle with centre

(1, 1)

and radius

2

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

Here it is given that centre

(h, k) = (1, 1)

and radius

r = 2

Therefore the equation of the circle is

(x - 1)^{2} + (y - 1)^{2} = (2)^{2}

\Rightarrow x^{2} - 2 x + 1 + y^{2} - 2 y + 1 = 2

\Rightarrow x^{2} + y^{2} - 2 x - 2 y = 0

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Question Text	Find the equation of the circle with centre $(1, 1)$ and radius $2$
Answer Type	Text solution:1
Upvotes	150