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If z1,z2,z3,z4 be the vertices of a para...

If `z_1,z_2,z_3,z_4` be the vertices of a parallelogram taken in anticlockwise direction and `|z_1-z_2|=|z_1-z_4|,` then `sum_(r=1)^4(-1)^r z_r=0` (b) `z_1+z_2-z_3-z_4=0` `a r g(z_4-z_2)/(z_3-z_1)=pi/2` (d) None of these

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RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2...

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  2. Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...

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  3. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

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  4. Area bounded by a r g(z)=pi/3,A rg(z)=(2pi)/3 and A rg(z-2-i2sqrt(3))...

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  5. The greatest value of the modulus of the complex number ' z ' satisfyi...

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  6. The set of points on a Argand diagram which satisfy bot |z|lt=4&A ...

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  7. The number of solutions of z^3+ z =0 is 2 (b) 3 (c) 4 (d) 5

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  8. If omega is an imaginary cube root of unity, then the value of (p+q)^...

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  9. If z0,z1 represent points P ,Q on the locus |z-1|=1 and the line se...

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  10. Let z1=a+i b and z2=c+i d are two complex number such that |z1|=|z2|...

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  11. The centre of a square is at the point with complex number z0=1+i and...

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  12. Intercept made by the circle zbar z + alphabarz+baralpha z +r=0 on ...

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  13. The triangle formed by complex numbers z ,i z ,i^2z is (a)Equilatera...

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  14. If omega!=1 is n^(t h) root of unity, then value of sum(k=0)^(n-1)...

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  15. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

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  16. The reflection of the complex number (2-i)/(3+i) , (where i=sqrt(-1) ...

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  17. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

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  18. A, B, C are the point representing the complex numbers z1,z2,z3 respec...

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  19. ((-1+isqrt(3))/2)^6+((-1-isqrt(3))/2)^6+((-1+isqrt(3))/2)^5+((-1-isqrt...

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  20. The statement (a+i b)<(c+i d) is true for a^2+b^2=0 (b) b^2+d^2=0 ...

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