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[" Locus of "z" such that "|z-a|^(2)+|z-...

[" Locus of "z" such that "|z-a|^(2)+|z-b|^(2)=lambda],[" real is "]

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Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 The locus of point from which tangents drawn to C_1 and C_2 are perpendicular , is :

Let z_1=3 and z_2=7 represent two points A and B respectively on complex plane . Let the curve C_1 be the locus of pint P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =10 and the curve C_2 be the locus of point P(z) satisfying |z-z_1|^2 + |z-z_2|^2 =16 The locus of point from which tangents drawn to C_1 and C_2 are perpendicular , is :

Match the following {:(I.,"If |z-3+i|=4 then the locus of z is ","a)"x^2+y^2-6x+2y-6=0),(II.,"If |z-1|=2|z-3|then the locus of z is","b)"3x^2+3y^2-22x+35=0),(III.,"If |z-i|=|z+i|then the locus of z is","c)"y=0),(IV.,"If "|z-1|^2+|z+1|^2=4"then the locus of z is","d)"x^2+y^2=1):}