If nbsp-z1-z2-z3 nbsp-and nbsp-z4 nbsp-are the affixes of four points in the nbsp-argand nbsp-plane and z is the affix of a point such that -z-z1-z-z2-z-z3-z-z4- then nbsp-z1-z2-z3-z4 nbsp-are1- nbsp-concyclic2- vertices of parallelogram3- vertices of rhombus4- in a straight nbsp- nbsp-line

Hi, nbsp; SInce nbsp; nbsp;|z z1|=|z z2|=|z z3|=|z z4| nbsp; it means distance of z from all the four points are equal so it is obvious that these four ...

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Quantitative Aptitude

Combination

If nbsp;z1,...

Question

If z1,z2,z3 and z4 are the affixes of four points in the argand plane and z is the affix of a point such that |z-z1|=|z-z2|=|z-z3|=|z-z4| then z1,z2,z3,z4 are
1) concyclic
2) vertices of parallelogram
3) vertices of rhombus
4) in a straight line

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Solution

Hi,
SInce |z-z1|=|z-z2|=|z-z3|=|z-z4| it means distance of z from all the four points are equal so it is obvious that these four points are lying on circle and z is the center so they are concyclic

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If z1,z2,z3 and z4 are the affixes of four points in the argand plane and z is the affix of a point such that |z-z1|=|z-z2|=|z-z3|=|z-z4| then z1,z2,z3,z4 are1) concyclic2) vertices of parallelogram3) vertices of rhombus4) in a straight line

Hi, SInce |z-z1|=|z-z2|=|z-z3|=|z-z4| it means distance of z from all the four points are equal so it is obvious that these four points are lying on circle and z is the center so they are concyclic

If z1,z2,z3 and z4 are the affixes of four points in the argand plane and z is the affix of a point such that |z-z1|=|z-z2|=|z-z3|=|z-z4| then z1,z2,z3,z4 are
1) concyclic
2) vertices of parallelogram
3) vertices of rhombus
4) in a straight line

Hi,
SInce |z-z1|=|z-z2|=|z-z3|=|z-z4| it means distance of z from all the four points are equal so it is obvious that these four points are lying on circle and z is the center so they are concyclic