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Solution : 3 13 9 39 9 43 4 4 3 9 52 9 57 5 5 7 ? 4 3 u 5 7 = 25037 27 676 9 52 3 (^13) u The required pr ...
The required quotient is 26 3 6 Example 22. Divide 2 2 718 by 1 91 2 Solution : 9999 22176 9999 22718 2 2 2718 ...
28282 60400 56564 282841 383600 282841 2828423 10075900 8485269 28284265 159063100 141421325 17641775 If the above process is co ...
7205 36025 40000 72105 3605525 3697500 7211101 7211101 9197500 1986399 ? The required square root is 3 605551 ......... ? The ...
Express into recurring decimal fractions : (a) 6 1 (b) 11 7 (c) 9 2 3 (d) 15 8 3 Express into simple fractions : (a) 0 2 ...
Chapter Two Set and Function The word ‘set’ is familiar to us, such as dinner set, set of natural numbers, set o f rational numb ...
?cB and read as c does not belong to B. Method of describing Sets : Set is expressed in two methods : (1) Ro ster Method or Tab ...
? The acceptable positive integers by the condition are 1 , 2 , 3 , 4 ? Required set is C { 1 , 2 , 3 , 4 }. Activity : 1. Expre ...
Subset :A {a,b} is a set. By the elements of set A, the sets {a,b}, {a},{b} can be formed. Again, by not taking any element φ se ...
It is to be noted if the order of elements is changed or if the elements are repeated, there will be no change of the set. Diffe ...
Example 7. If U { 1 , 2 , 3 , 4 , 6 , 7 },A { 2 , 4 , 6 , 7 } and B { 1 , 3 , 5 }, determine Ac andBc. Solution :Ac U\A { 1 , 2 ...
Example 10.A {}, B {a}, C {a,b} are three sets. Here,P(A) {φ} ? The number of elements of set A is 0 and the number of elements ...
green}. Wangsu can apply the colour of his room in the form of ordered pair as (white, red), (white, yellow), (white, green), (b ...
In the figure, U by rectangle and the sets of A and B are denoted by two mutually intersecting circle sets. set Elements AB 1 , ...
Exercise 2.1 Express the following sets in tabular method : (a) {xN:x^2! 9 and x^3 130 } (b) {xZ:x^2! 5 and x^3 d 36 } (c) ...
(a) Express the above information by Venn diagram along with brief description. (b) Find the numbers who have passed only in Ban ...
1 2 3 3 4 5 Required relation is {( 2 , 4 ),( 3 , 6 )} Example 17. If A { 1 , 2 , 3 }, B { 0 , 2 , 4 } and the relation x y 1 i ...
? 4 a 8 0 or, 4 a 8 or,a 2 ? if a 2 ,g( 2 ) 0. Domain and Range The first set of elements of the ordered pair of any relation ...
mathematician Rene Descartes (1596 1650) at first played a vital role in establishing a relation between algebra and geometry. ...
Example 23. If 3 1 3 1 () x x f x , find the value of 1 1 1 1 ̧ ¹ · ̈ © § ̧ ¹ · ̈ © § x f x f . Solution : Given 3 1 3 1 ( ...
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