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In the given trinomial expression if all terms are positive, then both the factors are positiv..

In plane geometry, the universal set consists of all points in a plan..

In the expansion of (1+x) n , the (r+1)th term is equal to..

Example: - In a class of 80 boys, there are 60 boys who play rugby and 35 play tennis. Use Venn diagrams to show how many boys play both the games? How many play rugby only and how many play tennis onl..

In case of no ambiguity, the binomial coefficients n C 0 , n C 1 , ..... n C n are written as C 0 , C 1 , ..... C n..

Graphical representation of Complex numbers - 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. I..

. Then, the point P represents on the number line. Using Pythagoras' theorem in rt. OB = , if AO = 2 and AB = 1 Cut off OP = OB = Then the point P represents on the number line. In the same w..

A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. In this square matrix of order n the elements a 1 1 , a 2 2 .......a n n is called the principal diagonal or the leading diagonal. The elements a 1 1 , a 2 2..

Let n = 2k+1 The number of terms is n+1 i.e., (2k + 1) + 1 = 2k + 2. In this case, there are two middle terms and are after k terms. Thus, in (a + b) n : ..

In (3 + 2x) 9 , we have ..