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Let z1=10+6i and z2=4+6idot If z is any ...

Let `z_1=10+6i` and `z_2=4+6idot` If `z` is any complex number such that the argument of `((z-z_1))/((z-z_2))` is `pi/4,` then prove that `|z-7-9i|=3sqrt(2)` .

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

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

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

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  4. about to only mathematics

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  5. Find the centre and radius of the circle formed by all the points repr...

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  6. If one of the vertices of the square circumscribing the circle abs(z-1...

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

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

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

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

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

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  13. Let the complex numbers z(1),z(2) and z(3) be the vertices of an equ...

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

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

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

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

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  18. Complex numbers z(1),z(2)andz(3) are the vertices A,B,C respectivelt o...

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  19. 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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  20. If |z|<=1,|w|<=1, then show that |z- w|^2<=(|z|-|w|)^2+(argz-argw)^2

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