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Q.

|z−z1||z−z2|=k ,(k > 1) represents

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a

a circle for which z1  and z2  are interior points

b

a circle for which z1&z2  lie outside the circle

c

a circle for which z1  lies inside and z2  lies outside the circle

d

a circle for which z1  lies outside z2  lies  inside the circle

answer is D.

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Detailed Solution

Let A=z1 and B=z2 If PAPB=k  (k>1)  ,the circle devides AB in the  ratio k : 1 .  Since PA>PB⇒ P is close to B than A. Hence B lies inside and A lies out side the circle
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