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how to get 100 in maths class 12 board exam 2014

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

rnprove it!!!!

Let A=R-{3} and B=R-{2/3}, If f : A gives to B such that f (x)= (2x-4)/(3x-9), then prove that f is a bijective function

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

If y=

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

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

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

^{3 }+ x is a bijection.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.

consider the set A containing n elements .Then the total number of injective functions from A onto itself isLet

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.urgent!!

show that the function f: R-----> R defined by f(x) = sin (2x+5) is neither one-one nor onto

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?

^{2}– 2x + 2 is onto function, find set 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,*).

then find L and a

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 n(A)=n(B)=3, then how many bijective functions from A to B can be formed?

how to prove that a given function is onto?

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

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.Kindly explain the beloe problem how it is Bijective function

1 The fnction f: R -R ,defined by f(x) =2x+1

2 f:N to N defined by f (n) =2n is one-one but not onto

3 Function R to R defined by f ( x) =x square

Here what is the domain set,image set and codomain Kindly explain taking some elements

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

Let R={(x,y): x,y belongs to Z, y=2x-4}.If(a,-2) and (4,b2) belongs to R , then write the values of a and b.

difference between all india and delhi cbse

under root of 4x-9 +

under root of 4x+9 = 5+ root7

in this question in the last step we equalize 8x=32 with what concept?

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

urgent!!

show that the function f: R-----> R defined by f(x) = sin (2x+5) is neither one-one nor onto

^{2}+1, g(x) = x+1/x^{2}+1 and h(x) = 2x-3, find, f''[h'{g'(x)}]._{2}(log_{3}(log_{4}x)) isPlease tell me the chapter wise marks distribution in physics, chemistry, and maths in boards...

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

^{2}+ x+1 is one one but not onto.The first three terms of an AP are respectively 3y-1, 3y+5 and 5y+1. Then calculate the value of y.^{th }word in the list is :(a) W

(b) D

(c) M

(d) C

a. 11

b. 14

c. 13

d. 12

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

Find the equation of the plane passing through intersection of the plane 4x-y+z=10 and x+y-z=4 and parallel to the line with direction ratios proportional to (2,1,1). Find also perpendicular Distance of (1,1,1) From this plane.

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

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

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

USING COMPLETING SQUARE METHOD ONLY

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?

Find domain of 10

^{x}+10^{y}=10.a) the incentre of triangle ABC is (12,21)

b) the incentre of triangle ABC is ( 21,12)

c) the orthocentre of triangle ABC is (0,63)

d) the orthocentre of trianlge ABC IS (63,0)

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 .

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

A. 16000

B. 16500

C. 16050

D. 16005

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

Is ther no differnce in sign...??

^{-1}+b^{-1}+c^{-1}?write the smallest equivalence relation R on set A ={1, 2, 3} .

$65.Thenumberofpositiveintegralsolutionsoftheequation{x}_{1}{x}_{2}{x}_{3}{x}_{4}{x}_{5}=1050is\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\left(a\right)1800\left(b\right)1600\left(c\right)1400\left(d\right)1875$

Show 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.

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.

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)^{2}- q^{2}) = 7pq where p and q are positive, then p:q will be?_{R}^{2 }and gof (x) = sin^{2}x. Then find f(x) and g(x).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]

f: X → Y andg: Y → Z be two invertible functions. Thengofis also invertible with (gof)^{–1}=f^{ –1}og^{–1}.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 ..