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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- If z1 andz2 be two complex numbers such that abs((z1-2z2)/(2-z1barz2))...
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- If in argand plane the vertices A,B,C of an isoceles triangle are rep...
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- Find the square root of -7-24i
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- If xr = cos(pi/3^r)+isin (pi/3^r) : prove that x1x2x3....upto infinity...
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- if alpha, beta, gamma are roots of x^3-3x^2+3x+7=0, then find (alpha-1...
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- If alpha1,alpha2....alpha(n-1) are the nth roots of unity then show th...
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- Show that the points represented by complex numbers (3+2i),(2-i),-7i a...
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- Find the centre and radius of circle 2absz^2+(3-i)z +(3+i)barz-7=0
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- Find all the circles which are orthogonal to absz=1 and abs(z-1)=4
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- If z1,z2,z3 are complex numbers such that 2/z1=1/z2 + 1/z3, show that ...
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- If 4x+i(3x-y)=3+i(-6), where x and y are real numbers, then find the v...
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- Find the multiplicative inverse of 2-3i.
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- Convert the complex number (-16)/(1+isqrt3) into polar form.
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- Find real theta such that (3+2isintheta)/(1-2isintheta) is purely real...
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- Convert the complex number z=(i-1)/(cos(pi/3)+isin(pi/3)) in the polar...
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- {1+(-i)^(4n+3)}(1-i), (ninN) equals
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- If z1,z2 are conjugate complex numbers and z3,z4 are also conjugate, t...
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- If z=(1+i)(1+sqrt 3i)^2/(1-i), then argz equal
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- The equation z^3=barz has
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- In the argand plane ABCD is a square described in the anticlockwise se...
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