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Jul 15, 2014



Feb 21, 2015



May 6, 2015



Oct 9, 2014



May 14, 2014

#### Find the domain and range of the function f(x) = âˆš(16-x2).



Domain:- [-4,4] Range:- [0,4]

Oct 22, 2014



Dec 14, 2014

#### How many numbers greater than a million can be formed with the digits 2,3,0,3,4,2,3.



Sol:
Here one million = 10,00,000.Given numbers are 2,3,0,3,4,2,3.

A number greater than 1000000 has 7 places,and all the digits are to be used.But 2 is repeated twice and 3 is repeated th...

May 15, 2014

#### 7 + 77 + 777 + .............+7777..77(n digits) = 7/81(10n+1 -9n -10)



Sol :
Let P(n) : 7+77+777+................+(7777........777) n-terms = 7/81[10n+1-9n-10], n Ïµ N
Step 1 : For n = 1 we have
P(1) = 7 = 7/81[101+1-9-1...

Oct 16, 2014

#### 1)between 1 and 31, m numbers have been inserted in such a way that the ratio of 7 th and (m-1) th numbers is 5:9.find the value of m 2)if n arithemetic means are inserted between 20 and 80 such that the ratio of the first mean to the last mean is 1:3,then find the value of n 3)the ratio of the first to the last of n AMs between 5 and 35 is 1:4. find n. 4)show that the sum of n arithemetic means between given two numbers is n times the single AM between the two numbers



1) Terms of the A.P. are 1, A

Jul 27, 2014

#### show that ,2nCn=2^n[1.3.5........(2n-1)]/n!



Sol:
Given 2nCn =  (2n)! / n! n!

= (2n)! / (n!)2

= (2n) ( 2n - 1) (2n - 2) -----------4.3.2.1 / (n!)2

= 2x...

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