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Ifz^2+abs(z)^2=0 then find the imaginary...

If`z^2+abs(z)^2=0` then find the imaginary value of z

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PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
  1. Ifabs(z)gt1 then find the position of the complex no. of z in argand p...

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  2. If abs(z+2)+abs(z-2)le6 then find the maximum value of abs(z)

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  3. Ifz^2+abs(z)^2=0 then find the imaginary value of z

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  4. Show that in argand plane the complex number (1+4i),(2+7i)and (3+10i) ...

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  5. z1 and z2 are two different complex nos where z1ne0 z2ne0 prove that (...

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  6. If x=a+b ,y=aomega+bomega^2, z=aomega^2+bomega then show that ,x^3+y^3...

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  7. Find the modulus and amplitude of the complex nos (1+cosalpha+isinalph...

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  8. Express the complex nos (1+7i)/(2-i)^2 in polar form

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  9. Factorise a^3+b^3+c^3-3abc

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  10. Find the square roots : x-isqrt(x^(4)+x^(2)+1)

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  11. If omega is the imaginary cube root of 1 then prove that (a+bomega+com...

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  12. If y=sqrt(x^2+6x+8) then show that one of the value of sqrt(1+iy)+sqrt...

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  13. If x=cosalpha+isinalpha and 1+sqrt(1-y^2)=ny then show that y/2n(1+nx)...

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  14. If a=1/2(5-isqrt3) then find the value of a^3-6a^2+12a-8

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  15. Show that complex numbers (2+i3), (2-i3), (3-i2), (3+i2) are concyclic...

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  16. If in argand plane the vertices A,B,C of an isoceles triangle are rep...

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  17. If z1,z2,z3 are three complex number then prove that z1Im(barz2.z3)+z2...

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  18. Prove that (1-omega^2)(1-omega^2+omega^4)(1-omega^4+omega^8)………..to 2n...

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  19. If x-iy = sqrt((a+ib)/(c-id)), prove that (x^(2) + y^(2))^(2) = (a^(2)...

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  20. If z be complex no. and (z-1)/(z+1) be purely imaginary show that z li...

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