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![[Post New]](/templates/default/images/icon_minipost_new.gif) 3 Apr 2008 11:28:57 IST
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DO WE NEED TO DO THE RHOMBUS,PARALLELOGRAM TYPE OF PROBLEMS IN COMPLEX? OR ELSE,WHAT SHOULD BE DONE TO PREPARE COMPLEX 4 JEE?
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 3 Apr 2008 11:31:13 IST
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yes problems corelating geometry and complex no.s are essential
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If you are intending for IIT-JEE type of exams tehn preparing for RHOMBUS,PARALLELOGRAM TYPE OF PROBLEMS is not a big deal. It is expected as well as essential too.
The syllabus for Complex numbers is covered under section Agebra as folows
ALGEBRA
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
Logarithms and their properties.
Permutations and combinations, Binomial theorem for a positive integral index, properties of binomial coefficients.
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
Addition and multiplication rules of probability, conditional probability, independence of events, computation of probability of events using permutations and combinations.
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 3 Apr 2008 14:00:04 IST
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why not, they are good for practice
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