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Q.

If |Z−2|<2|Z−4|  then the locus of Z is

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a

3x2+3y2−28x+60>0

b

3x2+3y2−14x+15>0

c

3x2+3y2−14x+15<0

d

3x2+3y2−14x+15=0

answer is A.

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Detailed Solution

(x−2)2+y2<4{(x−4)2+y2}          x2+y2−4x+4<4{x2+y2−8x+16} ⇒3x2+3y2−28x+60>0
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If |Z−2|<2|Z−4|  then the locus of Z is