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Let z1=a+i b and z2=c+i d are two comp...

Let `z_1=a+i b` and `z_2=c+i d` are two complex number such that `|z_1|=|z_2|=r` and `R e(z_1z_2)=0` . If `w_1=a+i c` and `w_2=b+i d ,` then (a)`|w_1|=r` (b) `|w_2|=r` (c)`R e(w_1w_2)=0` (d) `I m(w_1w_2)=0`

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RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If omega is an imaginary cube root of unity, then the value of (p+q)^...

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

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

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

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

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

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

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

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

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

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

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  12. ((-1+isqrt(3))/2)^6+((-1-isqrt(3))/2)^6+((-1+isqrt(3))/2)^5+((-1-isqrt...

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  13. 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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  14. If alpha and beta are the roots of the equation x^2-x+1=0 , then alpha...

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  15. If alpha,beta,gamma are the cube roots of p(p<0), then for any x ,ya n...

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  16. If z1,z2,z3,z4 are imaginary 5th roots of unity, then the value of su...

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  17. If z and w are two complex number such that |z w|=1 and a rg(z)-a rg(...

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  18. Let z1,z2,z3 be non-zero complex numbers satisfying the equation z^4=i...

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  19. If z!=0 be a complex number and a rg(z)=pi/4, then R e(z)=I m(z)on l ...

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  20. The centre of a square ABCD is at z0dot If A is z1 , then the centroid...

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