Select Board & Class
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
prove it!!!!
What do you mean by idempotent matrix?explain with example.
(tan-1 x)2+ (cot-1x)2= 5 pi2/ 8
find 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.
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.
Let N denote the set of all natural numbers and R be the relation on N X N defined by
( a,b ) R ( c,d ) both sided arrow ad ( b + c ) = bc ( a + d )
Prove that R is an equivalence relation on N x N.
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,*).
how to prove that a given function is onto?
Are equations of tangent and normal to parabola whether x2 =4ay or y2 =4ax is same...???
Is ther no differnce in sign...??
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
Let a relation R on the Set N of natural numbers be defined as (x,y) belongs to R if and only if x2-4xy+3y2=0 for all x,y belongs to N.Verify that R is reflexive but not symmetric and transiitve.
Show that the function f : R -- R defined by
f(x) =x / x2 +1 , ( x belongs R)
is neither one-one nor onto....
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
let f; N-R be a function defined as f(x) = 4x2+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)=x3 + x is a bijection.
Please tell me the chapter wise marks distribution in physics, chemistry, and maths in boards...
the sum of the rational terms in the binomial expansion of (2^1/2 + 3^1/5)^10 ??
which is the best maths guide book for class XII(CBSE)
Prove that the function f: NN, defined by f(x) = x2 + x+1 is one one but not onto.
Consider f: R+ → [−5, ∞) given by f(x) = 9x2 + 6x − 5. Show that f is one one,onto hence invertible
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.
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
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 10x+10y =10.
the binary operation *:R x R--->R is defined as a*b=2a+b.Find (2*3)*4
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???
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
pls someone solve these problems
1. show that f:R-R defined by f(x) = 2x3 -7 for all x belonging to R is bijective
2. f(x) = x+7 g(x) = x-7 x belonging to R find (fog)(7)
3.f(x) = x3 g(x)= cos3x find fog(x)
4.f:R-R f(x) = x/x2 +1 find f (f (x))
5. f:R-R f(x) = x2 - 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]
The curve represented by x =3(cost + sint) , y=4(cost - sint) is
a. ellipse
b. parabola
c. hyperbola
d. circle
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'.
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)
Syllabus
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!!!!
A. 16000
B. 16500
C. 16050
D. 16005
What do you mean by idempotent matrix?explain with example.
(tan-1 x)2+ (cot-1x)2= 5 pi2/ 8
find 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.
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.
Let N denote the set of all natural numbers and R be the relation on N X N defined by
( a,b ) R ( c,d ) both sided arrow ad ( b + c ) = bc ( a + d )
Prove that R is an equivalence relation on N x N.
what are real numbers?
what are natural numbers?
what are integers?
what is difference between them?
tell thm in detail with examples
Q112. Two common tangents to the circle x2 + y2 = 2a2 and parabola y2 = 8ax are
(a) x = (y +2a ) (b) y = (x + 2a)
(c) x = (y + a) (d) y = (x + a)
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,*).
how to prove that a given function is onto?
Are equations of tangent and normal to parabola whether x2 =4ay or y2 =4ax is same...???
Is ther no differnce in sign...??
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
Let a relation R on the Set N of natural numbers be defined as (x,y)
belongs to R if and only if x2-4xy+3y2=0 for all x,y belongs to N.Verify that R is reflexive but not symmetric and transiitve.Show that the function f : R -- R defined by
f(x) =x / x2 +1 , ( x belongs R)
is neither one-one nor onto....
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
let f; N-R be a function defined as f(x) = 4x2+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)=x3 + x is a bijection.
Please tell me the chapter wise marks distribution in physics, chemistry, and maths in boards...
the sum of the rational terms in the binomial expansion of (2^1/2 + 3^1/5)^10 ??
which is the best maths guide book for class XII(CBSE)
Prove that the function f: NN, defined by f(x) = x2 + x+1 is one one but not onto.
(A) 7
(B) 8
(C) 9
(D) 10
(E) 11
Consider f: R+ → [−5, ∞) given by f(x) = 9x2 + 6x − 5. Show that f is one one,onto hence invertible
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.
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
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?
f(x)=5x2+6x-9.
Prove that f is invertible
USING COMPLETING SQUARE METHOD ONLY
Find domain of 10x+10y =10.
Plzz answer ASAP
the binary operation *:R x R--->R is defined as a*b=2a+b.Find (2*3)*4
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???
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
Q. Let the product of all the divisors of 1440 be P. If P is divisible by 24x, then the maximum value of x is :
(a) 28 (b) 30
(c) 32 (d) 36
pls someone solve these problems
1. show that f:R-R defined by f(x) = 2x3 -7 for all x belonging to R is bijective
2. f(x) = x+7 g(x) = x-7 x belonging to R find (fog)(7)
3.f(x) = x3 g(x)= cos3x find fog(x)
4.f:R-R f(x) = x/x2 +1 find f (f (x))
5. f:R-R f(x) = x2 - 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]
The curve represented by x =3(cost + sint) , y=4(cost - sint) is
a. ellipse
b. parabola
c. hyperbola
d. circle
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'.