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May

Empty Set

☼ Empty Set : A set containing no elements at all is called an empty set or a null set or a void set and it is denoted by . In property method, = { }.

e.g. (i) { x / x

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May

Singleton Set

☼ Singleton Set : A set consisting of a single element is called a singleton set.

e.g. { x / x + 5 = 7 } = { 2 }, which is a singleton set….

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May

How to describe or specify a set ?

Roster Method ( Listing Method ) : Under this method, we just make a list of the objects of the set and put them within braces { }.

e.g. (i) If A is set of first five prime numbers, then A = { 2, 3, 5, 7,…

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May

Set Theory and Function

Set : A well defined collection of objects is called a set.

The objects in a set are called its elements or members.

$\dpi{150}... </p> <div class=$

Posted in: Set - Theory,

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May

Examples(2)

(8) What is the least number which is divisible by 2, 5, 6 and 9 and at the same time a perfect square ?

Soln. [ 2, 5, 6, 9 ] = LCM of 2, 5, 6 and 9 = 2 $\times$

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May

Examples

(1) What is the value of $\left (\frac{243}{32} \right )^{\frac{-4}{5}}$ ?

Soln. …

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May

Types of Surds

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

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

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May

Arithmetical Progression (A.P.)

■Arithmetical Progression (A.P.) : If each term of a progression differs from its preceding term by a constant, then such a progression is called an arithmetical progression. This constant difference is known as common differen…

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May

Surd

Surds : We know that $\sqrt{2}$ , $\sqrt{3}$ ,

Posted in: Surd,

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