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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..
Application of sets
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..
Suggested answer:
Let n(R) = number of boys of who play rugby n(T) = number of boys who play tennis Let x = number of boys who play both the games From the above diagram it is clear that, Those who play rugby only = 60 - x = 60 - 15 = 45 Those who play tennis on..
Let n(R) = number of boys of who play rugby n(T) = number of boys who play tennis Let x = number of boys who play both the games From the above diagram it is clear that, Those who play rugby only = 60 - x = 60 - 15 = 45 Those who play tennis on..Properties of Complex numbers
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..
Properties of Complex numbers - If Z, Z 1 and Z 2 are complex numbers, th..Properties of Complex numbers If Z, Z 1 and Z 2 are complex numbers, th..
If Z, Z 1 and Z 2 are complex numbers, th..Skew-Symmetric Matrix:
A square matrix A = [a i j ] is said to be skew-symmetric if the (i,j) t h element of A is the negative of the (j,i) t h element of A i.e., if a i j = -a j i for all i, j. In particular, for i = j, we have Thus the diagonal elements of a skew symmetric matrix are all zero. ..
A square matrix A = [a i j ] is said to be skew-symmetric if the (i,j) t h element of A is the negative of the (j,i) t h element of A i.e., if a i j = -a j i for all i, j. In particular, for i = j, we have Thus the diagonal elements of a skew symmetric matrix are all zero. ..Suggested answer:
6x+48 = 5y+40 y = 16 ..
6x+48 = 5y+40 y = 16 ..Factorisation using Identities
Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..
Recall the following identities for finding the products: Observe that the LHS in the identities are all factors and the RHS are their products. Thus, we can write the factors as follow..General Term for Positive Integral Index
For n N, we have . Let T r + 1 (0 r n) be the (r+1) t h term in the expansio..
For n N, we have . Let T r + 1 (0 r n) be the (r+1) t h term in the expansio..See what our Users say :
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