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Need for complex numbers, especially 1, to be motivated by inability to solve some of the quadratic equations
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Classification and geometrical representation of complex numbers, integral power of ‘i’
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Algebra(addition, multiplication,subtraction,division)
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Conjugate and modulus of Complex Numbers
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Argument of Complex numbers
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Representation of Complex Numbers
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Properties of modulus, conjugate and argument
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Argand plane and polar representation of complex numbers
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Concept of rotation
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Demoivre’s Theorem
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Cube roots of unity
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Geometry of Complex Numbers
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Geometry of Complex Numbers
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Logarithm of Complex Quantity
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Solution of quadratic equations in the complex number system
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Square root of a complex number
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triangle inequality, cube roots of unity, geometric interpretations.
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Convert to a+ib form
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identities(square,cube of two complex numbers)
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Quadratic equations with real coefficients
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relations between roots and coefficients
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formation of quadratic equations with given roots
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symmetric functions of roots
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Complex Numbers and Quadratic Equations Quiz