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  • x and y intercepts of the circle  respectively are<div cl

x and y intercepts of the circle (x-1)^2+(y-1)^2=4 respectively are

Option: 1

\sqrt{3}, \sqrt{3}


Option: 2

2\sqrt{3}, 2\sqrt{3}


Option: 3

4\sqrt{3}, 4\sqrt{3}


Option: 4

None of these


Answers (1)

best_answer

\\(x-1)^2+(y-1)^2=4\\ x^2+y^2-2x-2y-2=0

So, g = -1, f = -1, c = -2

x-intercept = 2\sqrt{g^2-c}= 2\sqrt{(-1)^2-(-2)}= 2\sqrt{3}

y-intercept = 2\sqrt{f^2-c}= 2\sqrt{(-1)^2-(-2)}= 2\sqrt{3}

 

Posted by

manish

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