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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- Find all circles which are orthogonal to |z|=1and|z-1|=4.
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- If z=4i-5 then |z| = and barz = .
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- If the conjugate of (x +iy) (1-2i) be 1+ i, then:
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- If |z|=2 and arg (z)=pi/4 , find zdot
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- In the Argand plane, the vector z = 4 - 3i is turned in the clockwise ...
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- The value of i^103 + i^(-99) = where i = sqrt(-1) .
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- The greatest and the least absolute value of z+1 where |z+4| le3 are ...
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- If a+ib = x-iy then in terms of x,y we have a-ib = .
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- If n is of the form 3m+2, 1+omega^(-11) +omega^(-2n) = where omega is...
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- If alpha,beta,gamma are the cube roots of p then for any x,y and z (xa...
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- The value of |sqrtalpha| , where alpha is a nonreal cube root of unity...
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- If omega is a cube root of unity, then find the value of the following...
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- 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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