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`z_1` and `z_2` are two different complex nos where `z_1ne0` `z_2ne0` prove that `(abs(z_1)+abs(z_2))abs(z_1/abs(z_1)+(z_2)/(abs(z_2))) le 2(abs(z_1)+abs(z_2))`

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PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
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  6. Express the complex nos (1+7i)/(2-i)^2 in polar form

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

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

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

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

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

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

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

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

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

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

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  19. z1 and z2 be two complex no. then prove that abs(z1+z2)^2+abs(z1-z2)^2...

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