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Find the real values of x and y for whic...

Find the real values of x and y for which the following equation is satisfied: `((1+i)x-2i)/(3+i)+((2-3i)y+i)/(3-i)=i`

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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  2. It is given that n is an odd integer greater than 3 but n is not a mul...

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  3. Find the real values of x and y for which the following equation is sa...

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  4. Let the complex numbers z1,z2 and z3 be the vertices of an equilateral...

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

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  6. let z1=10+6i and z2=4+6i if z is nay complex number such that argument...

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  7. if iz^3+z^2-z+i=0 then show that absz=1

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  8. let z1 and z2 be roots of the equation z^2+pz+q=0 where the coefficien...

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  9. For complex numbers z and w prove that absz^2w-abs(w)^2z=z-w if and on...

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  10. if z1 and z2 are two complex numbers such that absz1lt1ltabsz2 then p...

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  11. find the centre and radius of the circle formed by all the points repr...

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  12. Let omega ne1 be a complex cube root of unity if (3-3omega+2omega^2)^(...

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  13. For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...

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  14. A complex number z is said to be unimodular if absz=1 suppose z1 and z...

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  15. The value of ((1+sqrt3i)/(1-sqrt3i))^64+((1-sqrt3i)/(1+sqrt3i))^64

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  16. Find the maximum value of absz when abs(z-3/z)=2 ,z being a complex nu...

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  17. If z is a complex number such that abszge2 then the minimum value of a...

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  18. Let z1,z2 be two fixed complex numbers in the Argand plane and z be an...

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  19. In the Argand plane the distinct roots of 1+z+z^3+z^4=0 (z is a comple...

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  20. Suppose that z1, z2, z3 are three vertices of an equilateral triangle ...

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