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Parin Sir > of

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

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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Jun

Laws of operations

$\large \mapsto$ Commutative Laws :

(i) A $\cup$ B…

Posted in: Laws of operations,

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May

Complement of a Set

☼ Complement of a Set : Let A be a subset of the universal set U, then the complement of A, denoted by Aٰ or A is defined by :

Aٰ = A = { x : x U, x A }.

Clearly, x A x A.

e.g.

Posted in: Complement of a Set,

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May

Symmetric Difference Of Sets

☼ Symmetric Difference Of Sets : The symmetric difference of two sets A and B is defined by :

A $\triangle$ B = ( A

Posted in: Symmetric Difference Of Sets,

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May

Difference of Sets

☼ Difference of Sets : For any two sets A and B, we define :

A – B = { x : x $\in$ A and x $\notin$

Posted in: Difference of Sets,

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May

Intersection of Sets

☼ Intersection of Sets : The intersection of two sets A and B, denoted by A B is the set of all those elements which are common to both A and B.

Thus, A $\cap$

Posted in: Intersection of Sets,

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May

OPERATIONS ON SETS

☼ Union of Sets : The union of two sets A and B, denoted by A $\cup$ B is the set of all those elements which are either in A or in B or in both A…

Posted in: OPERATIONS ON SETS,

Tags: of, on, operations, Sets, Union,

May

Types of Surds

■ Pure Surd : A surd which consists wholly of an irrational number is called a pure surd.

e.g. $\sqrt{6}$ ,

Posted in: Types of Surds,

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May

Examples

(1) Evaluate : (i) $\sqrt{45}\times\sqrt{20}$ (ii) .

Posted in: Examples,

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