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Before describing the limits of trigonometric functions, we state few theorems along with Sandwich theorem, which helps in calculating a variety of limits in subsequent chapter..

Choose a point that does not satisfy the inequation and shade the remaining parts leaving the line. If the point satisfies the given inequation, shade the part including the point and the line. The process of shading is clear from the graphs depicted abo..

Introduction - An equation of the form ax 2 +bx+c=0 where a, b, c are real numbers and where "a" does not equal to zero(0..

For one element of A there is more than one corresponding element of B and for one element of B there is more than one corresponding element of A. The relation is called 'onto' if every element of B has a corresponding element of A. For example, Figures (i) and (ii) are onto relations. The relat..

We have discussed earlier about right hand limit and left hand limit. Both these limits are called one sided limits. x approaches a from the right side and through values greater than a. For a function f(x), we say as left hand Limit, as x approaches a from the left and through the values less..

True. 3. For symmetric property: If aRb then bRa. Let a be brother of b then b may not be brother of a, because b may be sister of a. False. Note:- When any one property is not satisfied we say that the relation is not an equivalence relation. Example 11:- Let A = {members of a family}. The relatio..

>Relation from a set A to a set B is a subset of A x B. - A relation R on a set A is reflexive if a R a, " a A- A relation R on a set A is symmetric if a R b b R a. - A relation R on a set A transitive if a R b and b R c a R c. A relation R is said to be an equivalence relation on A if it is reflex..

A lady has 50 cents and $ 2 coins in her purse. She has 90 coins in all and their total value is $105. How many $ 2 coins does she have? Let the number of 50 cents coins be x and the number of $ 2 coins be y. x + y = 90 (1) The total amount is $ 105 (2) From (2) x + 4y = 210 (3) x + y = 9..

The speed of the boat in still water is 15 km/h and the speed of the current is 5 km/h. A lady has 50 cents and $ 2 coins in her purse. She has 90 coins in all and their total value is $105. How many $ 2 coins does she have? Let the number of 50 cents coins be x and the number of $ 2 coin..

Which of the algebra tiles does not represent the standard form? => Figure 1 or Figure 4 or Figure 2 or Figure 3..