Logarithms are very useful for lengthy calculation. There are two types of logs: (1) log (2) ln (Natural log) (1) The base is 10 in log (2) The base is [...]

November 17, 2015

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PROPERTIES OF LOGARITHM

Logarithms are very useful for lengthy calculation. There are two types of logs: (1) log (2) ln (Natural log) (1) The base is 10 in log (2) The base is [...]

November 17, 2015

WHY sin x AND cosec x ARE POSITIVE IN SECOND QUADRANT?

जब भी मै बच्चो से पूछता हूँ कि sin x and cosec x, IInd quadrant में positive क्यों होता है? cos x and sec x, IVth में और tan x and cot x IIIrd में? हमेशा [...]

October 12, 2015

TRIGONOMETRY FORMULAE

Trigonometry Formulae: Don’t try to remember just know the concept of derivation With the help of sin (A + B), we can derive all the remaining [...]

May 21, 2015

MULTIPLICATION TECHNIQUES

Let us consider two digit numbers ab and cd. For example: 23 × 45 Now, Now, we can try in one step.

May 14, 2015

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 is denoted by . Let [...]

April 24, 2015

LAWS OF SET OPERATIONS

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

April 22, 2015

CARDINAL NUMBER OF SETS

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

April 22, 2015

VENN DIAGRAM

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 [...]

April 21, 2015

INTERVALS

(1) Closed Interval: Let a and b are two given real numbers such that , then (2) Open Interval: Let a and b are two given real numbers such that then or [...]

April 21, 2015

SUBSETS

SUBSET: A set P is said to be a subset of a set Q if each element of P is also an element of Q. If P is subset of Q, we write PROPER SUBSET: If and then P [...]

April 20, 2015

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