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Question

Mathematics Question on Circle

The radius of the circle x2+Y2+4x+6y+13=0x^2+Y^2+4x+6y+13=0 is

A

26\sqrt{26}

B

13\sqrt{13}

C

23\sqrt{23}

D

00

Answer

00

Explanation

Solution

Given equation is
x2+y2+4x+6y+13=0x^2 + y^2 + 4x + 6y + 13 = 0
or (x2+4x+4)+(y2+6y+9)+13=4+9(x^2 + 4x + 4) + (y^2 + 6y + 9) + 13 = 4 + 9
or (x+2)2(y+3)2=0(x+2)^2(y+3)^2=0
\therefore Radius of circle =0= 0.