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If `z_(1)=p+iq and z_(2) = u = iv` are complex numbers such that ` |z_(1)|=|z_(2)| = 1 and Re (z_(1) ,barz_(2)) =0 ` then the pair of complex number ,` omega_(1) = p+ iu and omega_(2) = q + iv` satisfies.
(1) ` |omega_(1)|=1` (2) `|omega_(2)|=1`
(3) ` Re(omega_(1),baromega_(2))=0` (4) None of these

A

` |w_(1)| = 1`

B

`|w_(2)| = 1`

C

`Re (w_(1) barw_(2)) = 0 `

D

None of these

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VMC MODULES ENGLISH-COMPLEX NUMBERS -JEE ARCHIVE
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  3. If z(1)=p+iq and z(2) = u = iv are complex numbers such that |z(1)|=...

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  4. Let z1a n dz2 be complex numbers such that z1!=z2 and |z1|=|z2|dot If ...

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  5. Let z1=10+6i and z2=4+6idot If z is any complex number such that the a...

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  9. Let a complex number alpha,alpha!=1, be a rootof hte euation z^(p+q)-z...

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  10. If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d...

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  11. If x=a+b,y=a alpha+b beta and z=abeta+ b alpha , where alpha and beta...

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  12. Express 1//(1-costheta+2isintheta) in the form x=i y .

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  13. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  14. The real values of xa n dy for which the following equation is satisfi...

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  16. A relation R on set of complex numbers defined by Z(1)RZ(2) hArr (Z(1)...

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  17. Prove that the complex numbers z(1),z(2) and the origin form an equ...

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  18. If roots of an equation x^n-1=0a r e1,a1,2, a(n-1), then the value of...

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  19. Show that the area of the triangle on the Argand diagram formed by the...

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