A N EXCEL PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
- If (a+i)^2/(2a-i) = p+iq, prove that p^2+q^2 = (a+1)^2/(4a^2+1)
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- Sheeba proved the same relation stated above by expressing (a+i)^2/(2a...
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- Match the following
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- Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) Find...
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- Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) find...
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- Suppose z1 = 2(cos60^@ + isin60^@) and z2 = 4(cos30^@ + isin30^@) Find...
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- Express (1-3i)/(1+2i) in the form x+iy
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- Find the polar form of the complex number (1-3i)/(1+2i)
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- Convert the following complex numbers into polar form 1 - i
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- Represent the complex number sqrt3+i in the polar form.
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- Express (1-i)/(sqrt3+i) in polar form
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- Express (1-i)(sqrt3+i) in polar form
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- Plot the points represented by the complex numbers 1+i, 2+i, 2+3i, 1+3...
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- What are the cartesian co-ordinates of the points 1+i, 2+i, 2+3i, 1+3...
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- If two points P and Q are represented by the complex numbers z1 and z2...
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- If the points P,Q,R,S are representing the complex numbers -1, 3i, 3+2...
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- If z = x+iy, prove that arg(z -1) = tan^(-1)(y/(x-1)) and arg(z+1) = t...
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- If arg((z-1)/(z+1)) = pi/2, show that x^2+y^2-1=0
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- Express sqrt3-i in polar form using the polar form of sqrt3+i
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- Use De-Moivere's theorem to find (sqrt3-i)^9 and (sqrt3-i)^(-1) in rec...
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