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`z_1, z_2, z_3,z_4` are distinct complex numbers representing the vertices of a quadrilateral `A B C D` taken in order. If `z_1-z_4=z_2-z_3 and "arg"[(z_4-z_1)//(z_2-z_1)]=pi//2` , the quadrilateral is

A

a rhombus

B

a square

C

a rectangle

D

not a cyclic quadrilateral

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The correct Answer is:
c
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OBJECTIVE RD SHARMA ENGLISH-COMPLEX NUMBERS -Chapter Test
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  3. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

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  4. If z be a complex number, then |z-3-4i|^(2)+|z+4+2i|^(2)=k represent...

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  13. If z lies on the circle |z-1|=1, then (z-2)/z is

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