Call me

Have a Query? We will call you right away.

+91

E.g: 9876543210, 01112345678

We will give you a call shortly, Thank You

Office hours: 9:00 am to 9:00 pm IST (7 days a week)

What are you looking for?

Syllabus

how to get 100 in maths class 12 board exam 2014

Please answer all with explanation

In two different societies, there are some college going students - including girls as well as

boys.

Satish forms two sets with these students, as his college project.

Let A = {a1 , a2 , a3 , a4 , a5} and B {b1 , b2 , b3 , b4} where ai ?s and bi ?s are the school going

students of first and second society respectively.

Satish decides to explore these sets for various types of relations and functions.

Using the information given above, answer the following :

(i) Satish wishes to know the number of reflexive relations defined on set A. How many

such relations are possible?

(a) 0

(b) 2

5

(c) 2

10

(d) 220

(ii) Let R : A? A , R = { (x, y) : x and y are students of same sex } . Then relation R is

(a) reflexive only

(b) reflexive and symmetric but not transitive

(c) reflexive and transitive but not symmetric

(d) an equivalence relation

(iii) Satish and his friend Rajat are interested to know the number of symmetric relations

defined on both the sets A and B, separately. Satish decides to find the symmetric

relation on set A, while Rajat decides to find the symmetric relation on set B. What is

difference between their results?

(a) 1024

(b) 2

10 (15)

(c) 2

10 (31)

(d) 2

10 (63)

(iv) Let R : A? B , R = { (a1 ,b1 ), (a1 ,b2 ), (a2 ,b1 ), (a3 ,b3 ), (a4 ,b2 ), (a5 ,b2 ) } then R is

(a) neither one-one nor onto

(b) one-one but, not onto

(c) only onto, but not one-one

(d) not a function

(v) To help Satish in his project, Rajat decides to form onto function from set A to B. How

many such functions are possible?

(a) 342

(b) 240

(c) 729

(d) 1024

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

rnprove it!!!!

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

(tan

^{-1 x})^{2}+ (cot-^{1}_{x})^{2}= 5 pi^{2}/ 8find value of x

then find L and a

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.

A. 16000

B. 16500

C. 16050

D. 16005

Let

denote the set of all natural numbers andNbe the relation onRNXdefined byN( a,b )R( c,d )both sided arrowad ( b + c ) = bc ( a + d )Prove that

is an equivalence relation onRNxN._{1}=1+i then the minimum value of |z-z_{1}| is ???what are real numbers?

what are natural numbers?

what are integers?

what is difference between them?

tell thm in detail with examples

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

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,*).

A={1,3,5}; B= {9,11} R = {(a,b) belongs to AxB:a-b is odd} Write the relation R

Show that the function f : R -- R defined byf(x) =x / x^{2}+1 , ( x belongs R)is neither one-one nor onto....^{2}– 2x + 2 is onto function, find set A.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.c

4] prove:

a) 2 tan-1 x = tan-1 ( 2x/ 1 - x2 )

b) sec2 ( tan-1 2 ) + cosec2 ( cot-1 3 ) = 15

Is it necessary that fo(g+h) is always equal to (fog) + (foh)? Explain using an example.

how to prove that a given function is onto?

what is trivially transitive relation.

let f; N-R be a function defined as f(x) = 4x

^{2}+12x +15. show that F:N - S where s is the range of f , is invertible. find the inverse of f.Please explain sol elaborately

Ans - 54

Please post answers of r.s. aggarwal of class 12 mathematics

Chapters are as follows :

1.relation and function

2. matrices

3. determinants

_{7}= {1,2,3,4,5,6,7}, does the following partitions give rise to an equivalence relation? Why?A

_{1}={1,2,5,7}, A_{2}={3}, A_{3}={4,6}.LET A BINARY OPERATION*IS DEFINED BY a*b=ab/5 for all a,b belongs R-{0} THEN FIND THE VALUE x given by 2*(x*5)=10

difference between all india and delhi cbse

Pls answer this tough question...

??????

If y=

(x+root(x^2+a^2))^n, prove that dy/dx=ny/(root(x^2+a^2)).if any two function f and g : R→ R

f(x) = 3x+4

and gof(x) = 2x-1

then find g(x) ?????

Let * be a binary operation on Q

^{+}defined by a*b=ab/100 for all a,b belongs to Q^{+}.The inverse of 0.1 is?^{2}+1, g(x) = x+1/x^{2}+1 and h(x) = 2x-3, find, f''[h'{g'(x)}].f: R → R given byf(x) = 3 – 2 sinxis(a) one-one (b) onto (c) bijective (d) None of these

Please tell me the chapter wise marks distribution in physics, chemistry, and maths in boards...

The first three terms of an AP are respectively 3y-1, 3y+5 and 5y+1. Then calculate the value of y.f(x)=1/log(to the base e)|x| is continuous is

A 1

B 2

C 3

D 4

E infinitely many

Explain.

Prove that the function f: NN, defined by f(x) = x

^{2}+ x+1 is one one but not onto.Find whether

f:Z- Zdefined by f(x) = x^{2}+ 5 for all x belongs Z is one one or not.show that the function f: R ---->R given by f(x)=x

^{3 }+ x is a bijection.(Answer is 0)

which is the best maths guide book for class XII(CBSE)

Show that the function f: R-->R defined by f(x)= 3x^3+ 5 for all x belongs to R is bijective.

Consider f: R+ → [−5, ∞) given by f(x) = 9x

^{2}+ 6x − 5. Show that f is one one,onto hence invertibleShow that each of the relation R in the set A = {х Z :0 ≤ x ≤ 12} ,given by R ={(a,b) : | a-b| is a multiple of 4 is an equlance relarion . Find the set of elements related to 1

solution in the text book could not be followed kindly explain in detail.

if the binary operation * on the set Z of integers is defined by a * b = a + b -5, then write the identity element for the operation * in Z

(a) 2481

(b) 1977

(c)4384

(d) 2755

_{+}[9,infinity]f(x)=5x

^{2}+6x-9.Prove that f is invertible

USING COMPLETING SQUARE METHOD ONLY

Every arbitrary equivalence relation

Rin a setXdividesXinto mutually disjoint subsets (A_{i}) called partitions or subdivisions ofXsatisfying the following conditions:All elements of

Sir , I can't under stand the line means. Plz explain in brief.A_{i}are related to each other for alliHow is aggregate calculated in CBSE report card of class 12th, if the Medical student has Maths as optional subject and Physical education is additional?

^{2}+ 6x - 8 is a bijection , then find the domain and rangeFind domain of 10

^{x}+10^{y}=10.(1) 5

(2) 7

(3) 9

(4) 4

the binary operation *:R x R--->R is defined as a*b=2a+b.Find (2*3)*4

Are equations of tangent and normal to parabola whether x2 =4ay or y2 =4ax is same...???

Is ther no differnce in sign...??

write the smallest equivalence relation R on set A ={1, 2, 3} .

let f:z-z:f(n)=3n and let g:z-z defined by

g(n)=n/3 if n multiple of 3

0 if n is not a multiple of 3

show that gof=Iz and fog not =Iz

^{x}- 9^{x}- 4^{x}+1 / 1- cosxfor the set A={1,2,3} define the relation R in set A as follows:

R={(1,1) (2,2) (3,3) (1,3)}. write the ordered pairs to be added to R to make it the smallest equivalent relation.

If y root(x2+1)=log(root(x2+1)-x), show that (x2+1) dy/dx+xy+1=0

In a college of 300 students,every student reads 5 newspaper and every newspaper is read by 60 students. what is the number of newspaper???

^{2}x + sin^{2}(x+pi/3)+ cosx*cos(x+pi/3), and g(5/4)=1 then find gof(x)Find Domain

Show that the relation (R) defined by (a,b)R(c,d) -> a+d=b+c on the set N X N is an equivalence relation

_{1/3}(|a| +1) > -1, then the domain of the function f(x)=√(2x^4 + ax^3 -6x^2 -4ax -8) is a) [-1,2], b) [-2,2], c)(-∞,-2]∪[2,∞) 4) R-(-1,1)^{2}- q^{2}) = 7pq where p and q are positive, then p:q will be?pls someone solve these problems

1. show that f:R-R defined by f(x) = 2x

^{3}-7 for all x belonging to R is bijective2. f(x) = x+7 g(x) = x-7 x belonging to R find (fog)(7)

3.f(x) = x

^{3}g(x)= cos3x find fog(x)4.f:R-R f(x) = x/x

^{2}+1 find f (f (x))5. f:R-R f(x) = x

^{2 }- 3x + 2 find f (f (x))6.f(x) = mode x g(x) = [x] f:R-R find fog(5/ 2) gof ( - square root 2) where [ greatest integer function]

let f:n-n defined by f(x)= n+1/2, if n is odd

n/2, if n i even

state whether f is bijective ?

i know how to prove that f is 1-1 . i need help for if f is onto or not ..

xRy if xy is the square of an integer . Check if relation is equivalence?