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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_3a n d"a r g"[(z_4-z_1)//(z_2-z_1)]=pi//2` , the quadrilateral is a. rectangle b. rhombus c. square d. trapezium

A

rectangle

B

rhombus

C

square

D

trapezium

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A
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ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q) Locus:
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  6. z1, z2, z3,z4 are distinct complex numbers representing the vertices o...

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  7. If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...

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  8. The region of the complex plane for which |(z-a)/(z+veca)|=1,(Re(a) !=...

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  10. The locus represented by |z-1|=|z+i| is:

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  12. If P is the affix of z in the Argand diagram and P moves so that (z -...

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  13. If w=alpha+ibeta where Beta 0 and z ne 1 satisfies the condition that...

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  14. If |ak|< 3, 1 le k le n, then all complex numbers z satisfying equatio...

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  15. Prove that the distance of the roots of the equation |sintheta1|z^3+|s...

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  16. If z^(2) + z | z| + | z|^(2) = 0 , then the locus of z is

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  17. If alpha+ibeta=tan^(-1) (z), z=x+iy and alpha is constant, the locus o...

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