obtain the Cartesian form of the locus of Z if |3Z-5|=3|Z+1|
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Answer :z = x + iy [Re(iz)]2 = 3 ⇒ [Re[i(x + iy]]2 = 3 ⇒ [Re(ix – y)]2 = 3 ⇒ (-y)2 = 3 ⇒ y2 = 3
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