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Question

Find the equation of director circle of the circle (x1)2+(y2)2=4


A

(x1)2+(y2)2=42

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B

(x1)2+(y2)2=8

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C

(x+1)2+(y+2)2=42

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D

(x2)2+(y1)2=8

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Solution

The correct option is B

(x1)2+(y2)2=8


Given the circle (x1)2+(y2)2=4

Center of original circle =(1,2) and radius =2

We know,

Director circle of a circle is the locus of the point of intersection of two perpendicular tangents.

It is the concentric circle having radius equal to 2 times the orginal circle.

Center of director circle =(1,2) and radius =22

Equation of the director circle is (x1)2+(y2)2=(22)2

(x1)2+(y2)2=8

Option B is correct


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