## OPERATIONS ON SETS

(1) Union of Sets: The union of two sets A and B is the set of all the elements which are either in A or in B or in both A and B. It...

All About Mathematics

(1) Union of Sets: The union of two sets A and B is the set of all the elements which are either in A or in B or in both A and B. It...

(1) Idempotent laws : (2) Identity laws: (3) Commutative laws: (4) Associative laws: (5) Distributive Laws: (6) De-Morgan’s Laws:

Some important results derived from Venn diagrams are as follows: A, B and C are three sets. A and B are disjoint sets.

The pictorial representation of sets is called Venn diagram. The universal set is represented by a rectangular region and its subsets by circles inside the rectangle. In the above given Venn diagram, and and...

Keep one digit from right hand side and carry forward remaining digits Step I : Multiply unit’s place with unit’s place Step II : Cross multiply and add Step III : Multiply ten’s place...

If the equation of circle is Then center = (–g, –f) and radius Or If the equation of circle is By completing square, Example1: Find the centre and radius of the...

Consider a point P(x1, y1) and a line in the line co – ordinate axes. The coordinates of points A and B are and . Area of Example: Find the distance from the...

Consider a line AB makes an angle with the positive direction of x – axis and a point on the line is . Let a general point P on the line AB and the...

Definition A normal to a line is a line segment drawn from a point perpendicular to the given line. Let p be the length of perpendicular form from the origin to a line, which...

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