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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- (x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)
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- Express (1+a^2)(1+b^2) as the sum of two squares.
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- If sqrt 7-24i =x+iy and x=+-4,y=+-3 then sqrt 7-24i=?
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- Find the square root of 8-15i.
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- If z^2 = 12sqrt(-1) , find the complex number z .
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- Find the square root of x^2/y^2+y^2/x^2+1/(2i)(x/y+y/x)+31/16 .
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- Find the conjugate, modulus and argumetn of sqrt(2-)sqrt(2i)
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- If z =frac((1+i)(1+sqrt3i)^2)(1-i) , find |z| , arg z and barz .
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- Write 1+i/2-i in the trigonometrical form.
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- If z1= 3i and z2 = -1 -i , find the value of arg z1/z2 .
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- Find the modulus and amplitude of frac1((1-i)^2)-frac1((1+i)^2) . Als...
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- Solve the equation z^2 +|z|=0 , where z is a complex number.
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- Find the complex number z if z^2+barz=0
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- Solve for z: z^2 = (ibarz)^2 .
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- which of the foolowing satisfies |z+1|=z+2+2i
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- Determine the complex numbers which satisfy the equation -ibarz=z^2.
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- Find all complex numbers satisfying |z|^2+z^2-5+isqrt3 = 0.
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- Is there any z such that |(z+2)/(z+4i)|= 1 ? If so, find z.
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- IF 1age1, find all complex numbers z satisfying the equatioin z+a|z+|+...
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- Find all complex numbers satisfying barz= z^2 .
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