mathematics

Parin Sir > mathematics

Jun

☼ Factors & Multiples : If ‘a’ divides ‘b’ exactly, then we say that ‘a’ is a factor of ‘b’ and we write, a | b. In this case, ‘b’ is called a multiple of ‘a’.

☼ An Important Result : …

Posted in: H. C. F. & L. C. M. OF NUMBERS,

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Jun

Examples(2)

(6) Let A = { – 1, 0, 1, 2 } and B = { 0, 1, 4, 9, 16, 25 } & f : A $\large \rightarrow$ B

Let…

Posted in: Examples(2),

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01

Jun

Examples
(1) Write down the power set of A = { 10, 20, 30 }.

Soln. P (A) = { $\emptyset$ , {10}, {20}, {30}, {10, 20}, {10, 30}, {20, 30}, {10, 20, 30}…

Posted in: Examples,

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01

Jun

Onto & Into Functions
…

Posted in: Uncategorized,

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01

Jun

One-One & Many-One Functions
☼ One-One & Many-One Functions :   Let f : A $\large \rightarrow$ B. We say that f is one-one, if disti…

Posted in: One-One & Many-One Functions,

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01

Jun

Functions
☼ Functions :   Let A and B be two non-empty sets. Then a rule f   which associates to each x $\in$ A, a unique element f (x)

Posted in: Functions,

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01

Jun

Cartesian Product of Two Sets
☼ Cartesian Product of Two Sets :   The Cartesian product A $\times$ B of two non-empty sets A and B is defined as : A

Posted in: Cartesian Product of Two Sets,

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01

Jun

Ordered Pair
☼ Ordered Pair : A pair of two elements a and b listed in a specific order, is called an ordered pair ( a, b ).

Note (i) ( 2, 3 ) $\ne$

Posted in: Ordered Pair,

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01

Jun

Venn Diagrams
☼ Venn Diagrams : We represent sets by closed bounded figures, known as Venn diagrams. The universal set is denoted by a rectangular region and each subset of it is shown by a closed bounded figure within this rectangle.

…

Posted in: Venn Diagrams,

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01

Jun

Some More Important Results
☼ Some More Important Results :

(i) A $\cup$ B = $\emptyset$

Posted in: Some More Important Results,

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