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Question: Equation of circle touching lines \| x – 1\| + \|y + 2\| = 2 is...

Equation of circle touching lines | x – 1| + |y + 2| = 2 is

A

(x – 1)2 + (y +2)2 = 2

B

(x – 1)2 + (y + 2)2 = 222\sqrt{2}

C

(x – 1)2 + (y – 2)2 = 2

D

None

Answer

(x – 1)2 + (y +2)2 = 2

Explanation

Solution

Circle (x – 1)2 + (y + 2)2 = (22)2\left( \frac{2}{\sqrt{2}} \right)^{2}