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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE - 5.1 (SHORT ANSWER QUESTIONS)
- If x and y are real numbers of such that ((1+i)x-2i)/(3+i)+((2-3i)y+i...
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- Write ((a+ib)/(a-ib))^(2)-((a-ib)/(a+ib))^(2) in the fom of x+iy
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- If x+iy=(1)/(1+ cos theta+ isin theta), show that 4x^(2)-1=0
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- If x +iy = (3)/(2 + cos theta + isin theta) , show that x^(2) + y^(2) ...
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- If u+iv=(2+i)/(z+3) and z=x+iy find u, v
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- Show that (2-i)/((1-2i)^(2)) and ((-2-11 i)/(25)) are conjugate to eac...
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- If (1-i)(2-i)(3-i)....(1-ni)=xiy then prove that 2.510..... (1+n)^(2)=...
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- Simplify the following complex numbers and find their modulus. =((2+...
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- Simplify the number and find modulus . ((1 + i)^(3))/((2 + i) (1 + ...
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- Simplify -2i(3+i)(2+4i)(1+i) and obtain the modulus of that complex nu...
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- If z=3-5i Show that z^(3)-10z^(2)+58z-136=0
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- If z=2-isqrt(17), then show that 3z^(3)-4z^(2)+z+88=0
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- Find a square root for the complex number 3+4i
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- Find the square root fo (-5+12i)
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- Find a squar root for the complex number 7+24i
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- Find the square root of -47 + i8sqrt3
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- Find the square root of -8-6i
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