graphical method theory

The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex numbe..

The complex number Z = x + iy may be represented graphically by the point P whose rectangular co-ordinates are (x, y). Thus each point in the plane is associated with a complex number. In the figure, P defines Z = x + iy. It is customary to choose x-axis as real axis and y-axis as imagi..

This method is also known as tabular method. In this method, a set is represented by listing all the elements of the set, the elements being separated by commas and are enclosed within flower brackets {..

There are various methods of factorising a polynomial. They are, 1. Factorisation by dividing the expression by the HCF of the terms of the given expression. 2. Factorisation by grouping the terms of the expression. 3. Factorisation using identities. Let us study these methods ..

The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is increased by one. So, the second term is n C 1 a n - 1 b 1 . For the third term, the coefficient is taken..

Method of writing expansion for (a+b) n The first term in the expansion of (a + b) n is n C 0 a n b 0 . For the second term, the coefficient is taken as n C 1 , the power of 'a' is decreased by one and the power of 'b' is increased by one. So, the second term is n C 1 a n - 1 b..

We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' from all the factors, we get the term a n..

9x - 4x = 13y + 11y 5x = 24 y Squaring both sides, (Componendo and Dividendo) Again Ans: (i) (ii..

There are two methods of representing a set. (i) Roster Method (ii) Set builder fo..

i) The series formed by the reciprocals of the terms of a geometric series is also a geometric series. ii) There is no general method of finding the sum of a harmonic progressi..