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PATHFINDER-COMPLEX NUMBERS-QUESTION BANK
- If (1+i)(2+i)(3+i)………(n+i)=a+ib then show that 2.5.10……….(n^2+1)=a^2+...
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- Find the least possible integral value of n so that ((1+i)/(1-i))^n' i...
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- Find the amplitude of (sqrt3+i)
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- Find the value of sqrt([-3+sqrt(({-3+sqrt(-3+... "to infinity"}})]])
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- Express 1/(1-i)^3 in the form A+iB
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- Find the square root of (i)
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- Show that x^3-1=(x-1)(x-omega)(x-omega^2)
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- Find 4th roots of 1
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- Express each of the following expressions as the sum of two squares: (...
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- Ifabs(z)gt1 then find the position of the complex no. of z in argand p...
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- If abs(z+2)+abs(z-2)le6 then find the maximum value of abs(z)
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- Ifz^2+abs(z)^2=0 then find the imaginary value of z
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- Show that in argand plane the complex number (1+4i),(2+7i)and (3+10i) ...
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- z1 and z2 are two different complex nos where z1ne0 z2ne0 prove that (...
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- If x=a+b ,y=aomega+bomega^2, z=aomega^2+bomega then show that ,x^3+y^3...
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- Find the modulus and amplitude of the complex nos (1+cosalpha+isinalph...
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- Express the complex nos (1+7i)/(2-i)^2 in polar form
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- Factorise a^3+b^3+c^3-3abc
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- Find the square roots : x-isqrt(x^(4)+x^(2)+1)
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- If omega is the imaginary cube root of 1 then prove that (a+bomega+com...
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