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The equation of the radical axis of the two circles presented by the equations.

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The equation of the radical axis of the two circles presented by the equations. |z – 2| =3 and |z – 2 – 3i| = 4 on the complex plane is:

(A) 3y + 1 = 0 

(B) 3y – 1 = 0

(C) 2y – 1 = 0 

(D) None 

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1 Answer

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Best answer

Correct option is (B)

Explanation:

 |Z – 2| = 3

|Z – 2 – 3i| = 4

⇒ S1 = (x – 2)2 + y2 = 9 

⇒ S2 = (x – 2)2 + (y – 3)2 = 16

Both circles are intersecting. So, radical axis will be

S1 – S2 = 0 ⇒ 9 – 6y = 7 

3y – 1 = 0

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