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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!!!!

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

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

^{3 }+ x is a bijection.(tan

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

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.

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.Det =| log x 10 1|

| log y 13 1|

| log z 15 1|

what are real numbers?

what are natural numbers?

what are integers?

what is difference between them?

tell thm in detail with examples

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

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

A. 16000

B. 16500

C. 16050

D. 16005

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

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

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

If y=

(x+root(x^2+a^2))^n, prove that dy/dx=ny/(root(x^2+a^2)).difference between all india and delhi cbse

a. 11

b. 14

c. 13

d. 12

276 x+128 $\equiv $4(mod 7)

[Hint : 276 $\equiv $ 3, 128 $\equiv $2 (mod 7)]

_{1}=1+i then the minimum value of |z-z_{1}| is ???^{2}+1, g(x) = x+1/x^{2}+1 and h(x) = 2x-3, find, f''[h'{g'(x)}].^{-1}+b^{-1}+c^{-1}?Please tell me the chapter wise marks distribution in physics, chemistry, and maths in boards...

^{2}for all real x, then f (x) isThe first three terms of an AP are respectively 3y-1, 3y+5 and 5y+1. Then calculate the value of y.what is trivially transitive relation.

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

^{2}+ x+1 is one one but not onto.which is the best maths guide book for class XII(CBSE)

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

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

^{2}– 2x + 2 is onto function, find set A._{+}[9,infinity]f(x)=5x

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

USING COMPLETING SQUARE METHOD ONLY

If f(g(x)) = 4x

^{2}- 8x and f(x) = x^{2}- 4, then g(x) =A. 4 - x

B. x

C. 2x - 2

D. 4x

E. x

^{2}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?

show that each of the relation in the set A = { x E Z : 0

x12 }, given by ,(a) R = {(a,b) : Ia-bI is a multiple of 4} . (b) R ={(a,b): a = b}is an equivalrnce relation - i understood this part, but the next one i didnt get it -Find the set of all elements related to 1 in each case...pls answer sir srry for my previous mistake i'll not repeat that again..Find domain of 10

^{x}+10^{y}=10.consider the set A containing n elements .Then the total number of injective functions from A onto itself is^{2}- q^{2}) = 7pq where p and q are positive, then p:q will be?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...??

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

^{3}+ tanx + (x^{2}+1)/p is an odd functio, then the value of parametric p is(a) -5<p<5

(b) p<5

(c) p>5

(d) None

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 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)f: R → R given byf(x) = 3 – 2 sinxis(a) one-one (b) onto (c) bijective (d) None of these

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 ..