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

for 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.

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

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

rnprove it!!!!

(tan

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

A. 16000

B. 16500

C. 16050

D. 16005

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.

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.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?

Q112. Two common tangents to the circle x

^{2}+ y^{2}^{ }= 2a^{2}and parabola y^{2}= 8ax are(a) x = $\pm $(y +2a ) (b) y = $\pm $(x + 2a)

(c) x = $\pm $ (y + a) (d) y = $\pm $(x + a)

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,*).

how to prove that a given function is onto?

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

if f:-R-R defined as f(x)=2x-7/4 is an invertiable function.find f inverse

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

Chapters are as follows :

1.relation and function

2. matrices

3. determinants

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

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

Is ther no differnce in sign...??

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.show that the function f: R ---->R given by f(x)=x

^{3 }+ x is a bijection.If y=

(x+root(x^2+a^2))^n, prove that dy/dx=ny/(root(x^2+a^2)).^{-1}+b^{-1}+c^{-1}?Please tell me the chapter wise marks distribution in physics, chemistry, and maths in boards...

A speaks the truth 8 times out of 10 times. A die is tossed. He reports that it was 5. What is the probability that it was actually 5?

is it the questn of total probabilty , or bayes theorem . identify kaise krna h isko experts .

shukria .

The first three terms of an AP are respectively 3y-1, 3y+5 and 5y+1. Then calculate the value of y.which is the best maths guide book for class XII(CBSE)

^{2}+1, g(x) = x+1/x^{2}+1 and h(x) = 2x-3, find, f''[h'{g'(x)}].Consider f: R+ → [−5, ∞) given by f(x) = 9x

^{2}+ 6x − 5. Show that f is one one,onto hence invertibleif 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

How is aggregate calculated in CBSE report card of class 12th, if the Medical student has Maths as optional subject and Physical education is additional?

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

^{2}+ x+1 is one one but not onto.Det =| log x 10 1|

| log y 13 1|

| log z 15 1|

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

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

USING COMPLETING SQUARE METHOD ONLY

Q. If the roots of the equation x

^{2}+ 2ax + b = 0 are real an distinct and they differ by atmost 2m, then b lies in the interval(A) (a

^{2}– m^{2}, a^{2}) (B) (a^{2}– m^{2}, a^{2}) (C) (a^{2}, a^{2}+ m^{2}) (D) none of theseFind domain of 10

^{x}+10^{y}=10.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 ..

write the range of one branch of cos-1 x , other than the principal branch.

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

(A) 7

(B) 8

(C) 9

(D) 10

(E) 11

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???

_{+}-->[5,infinity] given by f(x)=9x^{2}+6x-5 show that f is invertible and also find the inverse of f ?If y root(x2+1)=log(root(x2+1)-x), show that (x2+1) dy/dx+xy+1=0

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

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]

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

A binary operation * on the set {0,1,2,3,4,5} is defined as

a*b ={a+b if a+b<6 & a+b-6 if a+b>=6

Show that zero is the identity for this operation and each element 'a' of the set is invertible with 6-a, being the inverse of 'a'.

49.A surveyor who wanted to calculate the area of a triangular plot of land measured two sides of the plot as 486 feet and 748 feet and measured the angle between these two sides as 71.3$\xb0$. What is the area of the triangular plot, in acres? (1 acre = 43,560 square feet)(A) 1.3

(B) 3.4

(C) 4.0

(D) 4.2

(E) 8.3

Let * be the binary operation on

Ngiven bya*b= L.C.M. ofaandb. Find(i) 5 * 7, 20 * 16 (ii) Is * commutative?

(iii) Is * associative? (iv) Find the identity of * in

N(v) Which elements of

Nare invertible for the operation *?Total number of solutions of the equation 3x + 2tanx = (5( pie )) /2 in x belongs to [0, 2(pie)] is equal to..... ?