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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- If cos(pi/7), cos((3pi)/7), cos((5pi)/7) are the roots of the equation...
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- The complex numbers z is simultaneously satisfy the equations abs(z-12...
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- The smallest positiv einteger n for which ((1+i)/(1-i))^n=1 where i=sq...
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- If abszge3 then the least value of abs(z+i/z) is lambda/3 then the val...
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- If abs(z-1)+abs(z+3)le8 then possible value of abs(z-4) is
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- A complex number z is said to be unimodular if absz=1 suppose z1 and z...
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- It is given that n is an odd integer greater than 3 but n is not a mul...
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- Find the real values of x and y for which the following equation is sa...
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- Let the complex numbers z1,z2 and z3 be the vertices of an equilateral...
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- If in argand plane the vertices A,B,C of an isoceles triangle are rep...
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- let z1=10+6i and z2=4+6i if z is nay complex number such that argument...
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- if iz^3+z^2-z+i=0 then show that absz=1
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- let z1 and z2 be roots of the equation z^2+pz+q=0 where the coefficien...
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- For complex numbers z and w prove that absz^2w-abs(w)^2z=z-w if and on...
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- if z1 and z2 are two complex numbers such that absz1lt1ltabsz2 then p...
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- find the centre and radius of the circle formed by all the points repr...
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- Let omega ne1 be a complex cube root of unity if (3-3omega+2omega^2)^(...
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- For any integer k let alphak=cos((kpi)/7)+isin((kpi)/7) where i=sqrt(-...
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- A complex number z is said to be unimodular if absz=1 suppose z1 and z...
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- The value of ((1+sqrt3i)/(1-sqrt3i))^64+((1-sqrt3i)/(1+sqrt3i))^64
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