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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- Let the point P represent the complex number z. If OP is turned round ...
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- |sqrtz|^4 = where z is a unimodular complex number.
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- (z|barz|^2)/(barz|z|^2) = where z is a complex number of amplitude pi...
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- ABCD is a rhombus. Its diagonals AC and BD intersect at the point M a...
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- The angle that the vector representing the complex number 1/((sqrt3+i)...
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- If |z| =2 then then the complex number 1/z is represented on a fixed .
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- If z1 and z2 are two complex number and a, b, are two real number then...
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- a and b are real numbers between 0 and 1 such that the points z1 =a+ i...
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- If the complex number z1,z2 and z3 represent the vertices of an equila...
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- If the real part of (z+4)/(2z+i) is 1/2 then the point z lies on .
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- If a gt 0 ,b gt 0 then sqrt(-a) * sqrtb is equal to
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- If i^2=-1 then the value of sum(n=1)^200 i^n is
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- Find the smallest positive integer value of n for which ((1+i)^n)/((1-...
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- The digit in the units place in the value of (727)^39 is
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- If n is an integer, not a multiple of 3, the sum of w^n+w^(2n),w bein...
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- If alpha=root(3)(1) and alpha is not real then alpha^(3n+1)+alpha^(3n+...
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- If 1,omega,omega^(2) are the cube roots of unity, then the roots of t...
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- If z is a complex number then
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- If z=ibarz then
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- The value of sqrti is
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