Example:
In a class of 80 boys, there are 60 boys who play rugby and 35 play tennis. Use Venn diagrams to show how many boys play both the games? How many play rugby only and how many play tennis onl..
Suggested answer:
Let n(R) = number of boys of who play rugby n(T) = number of boys who play tennis Let x = number of boys who play both the games From the above diagram it is clear that, Those who play rugby only = 60 - x = 60 - 15 = 45 Those who play tennis on..
Let n(R) = number of boys of who play rugby n(T) = number of boys who play tennis Let x = number of boys who play both the games From the above diagram it is clear that, Those who play rugby only = 60 - x = 60 - 15 = 45 Those who play tennis on..Properties of Complex numbers
If Z, Z 1 and Z 2 are complex numbers, th..
If Z, Z 1 and Z 2 are complex numbers, th..Suggested answer:
6x+48 = 5y+40 y = 16 ..
6x+48 = 5y+40 y = 16 ..General Term for Positive Integral Index
For n N, we have . Let T r + 1 (0 r n) be the (r+1) t h term in the expansio..
For n N, we have . Let T r + 1 (0 r n) be the (r+1) t h term in the expansio..Factorisation using Identities
From the above identities we observe that a given expression, which is in the form of an identity can be written in terms of its facto..
From the above identities we observe that a given expression, which is in the form of an identity can be written in terms of its facto..To insert n Harmonic Means between two given quantities
Hence h 1 , h 2 ,....h n are the n harmonic means. If A, G and H respectively are arithmetic, geometric and harmonic means of two positive quantities a and b, then G 2 = A.H and A ≥ G ≥..
Hence h 1 , h 2 ,....h n are the n harmonic means. If A, G and H respectively are arithmetic, geometric and harmonic means of two positive quantities a and b, then G 2 = A.H and A ≥ G ≥..Some important results
or This property is known as COMPONENDO & DIVIDENDO. (6) If , then each of these ratios equals where l,m,n are real numbers. L..
or This property is known as COMPONENDO & DIVIDENDO. (6) If , then each of these ratios equals where l,m,n are real numbers. L..Multiplication of Matrices
Let us consider the sales done by a school canteen for two successive days. Monday 25 cokes 12 cakes Tuesday 40 cokes 7 cakes Each coke costs $ 5 and cake costs $ 10. The sales can be expressed as a 2 x 2 matrix and the price as a 2 x 1 matrix as given below: The amount collected for two days can b..
Let us consider the sales done by a school canteen for two successive days. Monday 25 cokes 12 cakes Tuesday 40 cokes 7 cakes Each coke costs $ 5 and cake costs $ 10. The sales can be expressed as a 2 x 2 matrix and the price as a 2 x 1 matrix as given below: The amount collected for two days can b..Surd
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..
is NOT a surd because and 3 is NOT an irrational number. Without using tables, simplify: (i) 36 - 1 / 2 (ii) (i) 36 - 1 / 2 = (6 2 ) - 1 / 2 = 6 - 1 (i..See what our Users say :
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