Subject: Maths, asked on 10/5/13

## how to get 100 in maths class 12 board exam 2014

Subject: Maths, asked on 17/4/18
Subject: Maths, asked on 31/7/12

## cos[tan-1{sin(cot-1 x)}] = [(1 + x^2)/(1 - x^2)]^-1rnprove it!!!!

Subject: Maths, asked on 29/1/14

## For any relation R in any set A, we can define the inverse relation R-1 by a relation a R-1 b if and only if bRa.Prove that R is symmetric if and only if R=R-1

Subject: Maths, asked on 26/6/12

## What do you mean by idempotent matrix?explain with example.

Subject: Maths, asked on 15/2/12

## let f:z-z:f(n)=3n and let g:z-z defined byg(n)=n/3 if n multiple of 3 0 if n is not a multiple of 3show that gof=Iz and fog not =Iz

Subject: Maths, asked on 1/4/13

## (tan-1 x)2+ (cot-1x)2= 5 pi2/ 8find value of x

Subject: Maths, asked on 7/6/20

## Let Z = reiθ (r > 0 and π < 0< 3π ) is a root of the equation Z8 – Z7 +Z6 – 75 + z4 – z³ + Z2 –Z +1= 0. If the sum of all values of θ is kπ, then k is equal to...........?

Subject: Maths, asked on 16/2/13

## if * is a binary operation on R defined by a*b= a+b+ab. prove that * is commutative and associative. find the idebtify element. also show that every element of R is invertible wxcept -1.

Subject: Maths, asked on 5/8/15

## f(x) = 5x+3/4x-5 , show that f(f(x)) is an identity function . hence find f inverse of x

Subject: Maths, asked on 18/2/13

## Let N denote the set of all natural numbers and R be the relation on N X N defined by ( a,b ) R ( c,d ) both sided arrow ad ( b + c ) = bc ( a + d )Prove that R is an equivalence relation on N x N.

Subject: Maths, asked on 16/12/16

## If the function f:R-- A given by f(x)= x2/x2+1 is surjective, then find the set A

Subject: Maths, asked on 23/10/12

## Show that the relation R defined by R={(a,b):a-b is divisible by 3;a,b E N}is an equivalence relation .

Subject: Maths, asked on 16/6/15

## If A = {1,2,3,4,5}, write the relation a R b such that a + b = 8, a ,b € A. Write the domain, range & co-domain.

Subject: Maths, asked on 4/11/10

## what are real numbers? what are natural numbers? what are integers? what is difference between them? tell thm in detail with examples

Subject: Maths, asked on 12/6/15

## show that the function f: R ---->R given by f(x)=x3 + x is a bijection.

Subject: Maths, asked on 8/6/12

## how to calculate the number of binary  operations on any set A , say of 4 elements?

Subject: Maths, asked on 16/1/18

## Find the number of positive integral value of x satisfying the inequality (3^x - 5^x) (x - 2) / (x^2 + 5x + 2) _> 0?

Subject: Maths, asked on 18/2/14

## 11. Let A=QxQ.Let * be a binary operation on A defined by : (a,b)*(c,d) = (ac,ad+b).Find i) Identity element of (A,*) ii) the invertible element of (A,*).

Subject: Maths, asked on 29/1/21

## The variance of the data 2001,2003,2006,2007,2009,2010

Subject: Maths, asked on 5/2/14

## Show that the function f : R -- R defined byf(x) =x / x2 +1 , ( x belongs R)is neither one-one nor onto....

Subject: Maths, asked on 28/4/17

## In what ratio should tea worth Rs 10 per kg be mixed with tea worth Rs 14 per kg, so that the average price of the mixture may be Rs 11kg?

Subject: Maths, asked on 11/4/13

## 1] if cos-1 x/2 + cos-1 y/3 = theta, then prove that 9x2 - 12xy cos theta + 4y2 = 3b sin square theta .2] simplify : cos-1 (3/5 cos x + 4/5 sin x )3] if tan-1 a + tan-1 b + tan-1 c = pie , then prove that a + b + c = a.b.c4] prove:a) 2 tan-1 x = tan-1 ( 2x/ 1 - x2 )b) sec2 ( tan-1 2 ) + cosec2 ( cot-1 3 ) = 15

Subject: Maths, asked on 11/3/16

## if f(x)= x-1/x+1, (x#1, -1), show that fo f inverse is an identity function.

Subject: Maths, asked on 5/1/11

## how to prove that a given function is onto?

Subject: Maths, asked on 19/6/13

## If y=(x+root(x^2+a^2))^n, prove that dy/dx=ny/(root(x^2+a^2)).

Subject: Maths, asked on 2/10/13

## let f; N-R be a function defined as f(x) = 4x2+12x +15. show that F:N - S where s is the range of f , is invertible. find the inverse of f.

Subject: Maths, asked on 7/7/16

## In Invertible functions gof = Ix and fog = Iy here Ix and Iy means

Subject: Maths, asked on 15/4/14

## Please post answers of r.s. aggarwal of class 12 mathematicsChapters are as follows :1.relation and function2. matrices3. determinants

Subject: Maths, asked on 22/4/12

## Let f: R - R be a function given by f(x) = ax + b for all x element R. Find the constants a and b such that fof = IRLet f : R - R and g : R - R be two functions such that fog(x) = sin x2 and gof (x) = sin2x. Then find f(x) and g(x).

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