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how to get 100 in maths class 12 board exam 2014

20 kgs of fruits consisting of raspberries worth $6.00/kg , blue berries worth $2.50/kg and strawberries worth $1.50/kg are mixed.if there are twice as many blueberries as respberries and the total value of the fruits s $56.00 how maby of each fruits are there?

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

rnprove it!!!!

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

^{3 }+ x is a bijection.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

^{2}+1, g(x) = x+1/x^{2}+1 and h(x) = 2x-3, find, f''[h'{g'(x)}].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) equation of axis of parabola is 2x + y = 0 B) slope of tangent at vertex is $\frac{1}{2}$

C) focus is $\left(\frac{6}{5}-\frac{3}{5}\right)$ D) direct x passes through (1, -2)

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.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 are real numbers?

what are natural numbers?

what are integers?

what is difference between them?

tell thm in detail with examples

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

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

(1,1),(-6,0),(-2,2),(-2,-8)

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,*).

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

_{2}(log_{3}(log_{4}x)) ishow to prove that a given function is onto?

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

Chapters are as follows :

1.relation and function

2. matrices

3. determinants

^{k}b, for some integer k. show that R is an equivalence relation.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

f(x)=1/log(to the base e)|x| is continuous is

A 1

B 2

C 3

D 4

E infinitely many

Explain.

If y=

(x+root(x^2+a^2))^n, prove that dy/dx=ny/(root(x^2+a^2)).consider the set A containing n elements .Then the total number of injective functions from A onto itself isPlease 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.find the identity element of a*b=ab/4

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

^{2}+ x+1 is one one but not onto.(i) reflexive

(ii) symmetric and transitive

(iii) reflexive and symmetric

(iv) reflexive and transitive

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

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

Consider f: R+ â†’ [âˆ’5, âˆž) given by f(x) = 9x

^{2}+ 6x âˆ’ 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?

^{2}x + sin^{2}(x+pi/3)+ cosx*cos(x+pi/3), and g(5/4)=1 then find gof(x)Find domain of 10

^{x}+10^{y}=10.If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is

^{x }and g(x) = logx ( x>0), find fog and gof. Is fog = gof?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} .

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

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 ..

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???

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

will ncert exemplar problems book help us crack CET exam karnataka......

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

Let S be the set of all real numbers.Show that the relation R={(a,b):a

^{2}+b^{2}=1} is symmetric but neither reflexive nor transitive.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 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.