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Recent questions and answers in Relations and Functions
Questions
>>
CBSE XII
>>
Math
>>
Relations and Functions
Let * be a binary operation on the set of real numbers. If a * b = a+b-ab, 2 * ( 3 * x ) = -7, find the value of x.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q3
p3
math
sec-b
answered
Apr 26, 2021
by
kuppurajanbharathi
1
answer
Let
f
:
R
+
→
[
−
5
,
∞
)
given by
f
(
x
)
=
9
x
2
+
6
x
−
5.
show that f is invertiable with
f
−
1
(
y
)
=
√
y
+
6
−
1
3
.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q16
p3
math
sec-b
answered
Mar 21, 2020
by
hk0312109
1
answer
Differentiate ‘Cry’ and ‘cry’
cbsc
class 12
biology
biodiversity and its applications
sec-b
answered
Apr 9, 2019
by
priyanka.clay6
1
answer
Which one of the following is a bird flu virus?
cbse
class12
biology
zoology
neet
sec-a
answered
Feb 14, 2019
by
lpmvenkateswaran621
1
answer
Prove that relation R defined on the set N of natural numbers by
x
R
y
⇔
2
x
2
−
3
x
y
+
y
2
=
0
is not symmetric but it is reflexive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q27
p4
math
sec-b
answered
Jan 24, 2018
by
nimmisivapuri.d5
1
answer
Let
f
:
A
→
B
be a given function. A relation R in the set A is given by
R
=
(
a
,
b
)
ε
A
×
A
:
f
(
a
)
=
f
(
b
)
.
Check, if R is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q23
p4
math
sec-b
answered
Jan 24, 2018
by
nimmisivapuri.d5
1
answer
Draw a plot showing the variation of photo electric current against the intensity of incident validation on a given photo sensitive surface.
cbse
class12
physics
modelpaper
mock-test-series-2015
answered
Sep 4, 2017
by
throttlespec
1
answer
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
)
⇔
a
d
(
b
+
c
)
=
b
c
(
a
+
d
)
.
Show that R is an equivalence relation on N x N.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q21
p4
math
sec-b
answered
Jul 20, 2017
by
saurabh.kumarshukla1995
1
answer
Give an account of Hershey and Chase experiment. What did it conclusively prove? If both DNA and pro
cbse
class12
ch6
exemplar
theoryquestion
biology
sec-e
molecular basis of inheritance
answered
Jul 5, 2017
by
pady_1
1
answer
During reproduction, the chromosome number (2n) reduces to half (n) in the gametes and again the ori
cbse
class12
ch3
exemplar
theoryquestion
biology
sec-a
human reproduction
answered
Jun 14, 2017
by
pady_1
1
answer
An oil company has two depots A and B with capacities of 7000 L and 4000 L respectively. The company is to supply oil to three petrol pumps, D, E and F whose requirements are 4500L, 3000L and 3500L respectively. Assuming that the transportation cost of 10 litres of oil is Rs 1 per km, How should the delivery be scheduled in order that the transportation cost is minimum ? What is the minimum cost? The distance (In km) between the depots and the petrol pumps is given in the following table :
cbse
class12
maths
ch1
sec-e
answered
Dec 27, 2016
by
priyanka.c
1
answer
Find the area of the region
{
(
x
,
y
)
:
0
≤
y
≤
x
2
,
0
≤
y
≤
x
+
2
,
0
≤
x
≤
3
}
cbse
class12
maths
ch1
sec-e
answered
Dec 27, 2016
by
priyanka.c
1
answer
Find the image of the point (1, 3. 4) in the plane
x
−
y
+
z
=
5
. Hence show that the image lies on the plane
x
−
2
y
+
z
−
7
=
0
cbse
class12
maths
ch1
sec-e
answered
Dec 27, 2016
by
priyanka.c
1
answer
Radioactive wastes is to be disposed of in full enclosed lead boxes of inner volume
200
c
m
3
. The base of the box has dimension in the ratio 2:1 . What is the inner length of the box. Find the minimum inner surface area of the box.
cbse
class12
maths
ch1
sec-e
answered
Dec 22, 2016
by
priyanka.c
1
answer
Rent -a-car has three different makes of vehicles P, Q and R for hire. These cars are located at stations A and B on either side of a city. Some cars are being rented. In total they have 150 cars. At station A, they have 20% of P, 40% of Q and 30% of R which is 46 cars in total. At station B they have 40% of P, 20% of Q and 50% of R which is 54 cars in total. How many of each cars types does Rent-a -car have ?
cbse
class12
maths
ch1
sec-e
answered
Dec 22, 2016
by
priyanka.c
1
answer
Integrate
∫
sin
(
x
+
a
)
sin
(
x
+
b
)
d
x
cbse
class12
maths
ch1
sec-c
answered
Dec 22, 2016
by
priyanka.c
1
answer
Express the matrix
A
=
[
3
2
3
4
5
3
2
4
5
]
as the sum of a symmetric and a skew symmetric matrix.
cbse
class12
maths
ch1
sec-c
answered
Dec 22, 2016
by
priyanka.c
1
answer
Assume that each child born is equally likely to be a boy or a girl. If a family has two children, what is the conditional probability that both are girls given that
(a) The youngest is a girl.
(b) At least one is a girl.
Pre-natal *** determination is a crime. What will you do if you come to know that some of your known is indulging in pre-natal *** determination ?
cbse
class12
maths
ch1
sec-c
answered
Dec 22, 2016
by
priyanka.c
1
answer
Evaluate
3
/
2
∫
−
1
|
x
sin
π
x
|
d
x
cbse
class12
maths
ch1
sec-c
answered
Dec 22, 2016
by
priyanka.c
1
answer
Find the condition that the curves
2
x
=
y
2
and
2
x
y
=
k
intersect orthogonally.
cbse
class12
maths
ch1
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
Differentiate
x
sin
−
1
x
w.r.t
sin
−
1
x
cbse
class12
maths
ch1
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
For what value of
a
and
b
is the function
f
(
x
)
=
{
x
2
,
x
≤
c
a
x
+
b
,
x
>
c
is differentiable at
x
=
c
cbse
class12
maths
ch1
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
On the set
R
−
{
−
1
}
a binary operation
∗
is defined by
a
∗
b
=
a
+
b
+
a
b
for all
a
,
b
∈
R
−
{
−
1
}
. Prove that
∗
is commutative as well as associative on
R
−
{
−
1
}
. Find the identity element on
∗
if any.
cbse
class12
maths
ch1
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
Evaluate :
tan
[
π
4
+
1
2
cos
−
1
a
b
]
+
tan
[
π
4
−
1
2
cos
−
1
a
b
]
cbse
class12
maths
ch2
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
Using differentials, find the appropriate value of
[
0.009
]
1
3
cbse
class12
maths
ch1
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
If
→
b
×
→
c
=
→
c
→
a
≠
0
, then
→
a
+
→
b
=
k
→
c
where k is any scalar.
Is it true or false .
cbse
class12
maths
ch1
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
From the differential equation of the family of curves
y
=
A
sin
2
x
+
B
cos
2
x
cbse
class12
maths
ch1
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
If
f
′
(
x
)
=
6
x
2
+
2
,
find
f
(
x
)
, given that
f
(
x
)
=
7
when
x
=
1
cbse
class12
maths
ch7
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
If
y
=
7
x
−
x
3
and
x
increases at the rate of 4 units per second. How fast is the slope of the curve changing when
x
=
2
cbse
class12
maths
ch1
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
Determine the order and degree in the differential equation. Also state if it is a linear or non linear.
y
+
d
y
d
x
=
1
4
∫
y
d
x
cbse
class12
maths
ch1
sec-a
answered
Dec 20, 2016
by
priyanka.c
1
answer
Let
∗
R
×
R
→
R
given by
(
a
,
b
)
→
a
+
4
b
2
is a binary operation, compute
−
5
∗
(
2
∗
0
)
.
cbse
class12
maths
ch1
sec-a
answered
Dec 20, 2016
by
priyanka.c
1
answer
A cooperative society of farmers has 50 hectors of land to grow two crops X and Y. The profit from crops X and Y are estimated on Rs.10,500 and Rs.9000 respectively. To control weeds, a liquid herbicide has to be used crops X and Y at rate of 20 litres and 10 litres per hectors. Further no more than 800 litres of herbicide should be used in order to protect fish and wild life using a pond which collects drainage from this land. How much land should be allocated to each crop so as to maximize the total profit of the society ?
cbse
class12
maths
ch1
sec-e
answered
Dec 19, 2016
by
priyanka.c
1
answer
Find the area bounded by the lines.
x
+
2
y
=
2
,
y
=
x
+
1
and
2
x
+
y
=
7
cbse
class12
maths
ch1
sec-e
answered
Dec 12, 2016
by
priyanka.c
1
answer
Find absolute maximum and minimum value a function given by
f
(
x
)
=
12
x
4
3
−
6
x
1
3
,
x
∈
[
−
1
,
1
]
cbse
class12
maths
ch1
sec-c
answered
Dec 12, 2016
by
priyanka.c
1
answer
Define standing crop.
cbse
class12
biology
botany
sec-a
answered
Dec 8, 2016
by
meena.p
1
answer
Define a binary operation
∗
on the set {0, 1, 2, 3, 4, 5} as
a
∗
b
=
{
a
+
b
,
if a+b<6
a
+
b
−
6
,
i
f
a
+
b
≥
6
show that the zero is the identity for this operation and each element
a
≠
0
of the set is invertible with
6
−
a
being the inverse of
a
.
cbse
class12
maths
ch1
sec-c
answered
Dec 7, 2016
by
priyanka.c
1
answer
If
f
:
R
→
R
be given by
f
(
x
)
=
(
3
−
x
3
)
1
3
, then evaluate
f
o
f
(
x
)
cbse
class12
maths
ch1
sec-a
answered
Dec 7, 2016
by
priyanka.c
1
answer
Find the approximate value of
f
′
(
3.02
)
where
f
(
x
)
=
3
x
2
+
5
x
+
3
cbse
class12
maths
ch6
sec-b
answered
Nov 25, 2016
by
priyanka.c
1
answer
The total cost C(x) in rupees associated with the production of x units of an item is given by
C
(
x
)
=
0.007
x
3
−
0.003
x
2
+
15
x
+
4000
. Find the marginal cost when 10 units are produced.
cbse
class12
maths
ch6
sec-b
answered
Nov 23, 2016
by
priyanka.c
1
answer
Let A = {1, 2}. Find the number of possible binary operations defined on A.
cbse
class12
maths
ch1
sec-b
answered
Nov 23, 2016
by
priyanka.c
1
answer
A balloon which always remain spherical has a variable diameter
3
2
(
2
x
+
3
)
: Determine the rate of change of volume w.r.t x
cbse
class12
maths
sec-a
ch6
answered
Nov 23, 2016
by
priyanka.c
1
answer
Find the value of
λ
, so that the lines
1
−
x
3
=
7
y
−
14
2
λ
=
z
−
3
2
a
n
d
7
−
7
λ
3
λ
=
y
−
5
1
=
6
−
z
5
are at right angle
cbse
class12
maths
sec-e
ch11
answered
Nov 22, 2016
by
priyanka.c
1
answer
Find the value of 'a ' so that the function f(x) is defined by
f
(
x
)
=
{
sin
2
a
x
x
2
x
≠
0
1
,
x
=
0
may be continuous at x = 0
cbse
class12
maths
sec-e
ch5
answered
Nov 22, 2016
by
priyanka.c
1
answer
Verify Rolle's theorem for
f
(
x
)
=
x
2
+
2
in the interval [-2,2]
cbse
class12
maths
sec-e
ch5
answered
Nov 21, 2016
by
priyanka.c
1
answer
If
P
(
A
)
=
0.25
,
P
(
B
)
=
0.4
a
n
d
P
(
A
∪
B
)
=
0.5
f
i
n
d
P
(
A
∩
B
)
a
n
d
P
(
A
∩
ˉ
B
)
cbse
class12
maths
sec-e
ch1
answered
Nov 21, 2016
by
priyanka.c
1
answer
A car stands from a point P at time t = 0 sec and stops at point Q. The distance x, in metres, covered by it, in t seconds in given by
x
=
t
2
(
2
−
t
3
)
. Find the time taken by it to reach Q and also find the distance between P and Q.
cbse
class12
maths
sec-e
ch6
answered
Nov 21, 2016
by
priyanka.c
1
answer
On Q the set of all rational numbers, a binary operation
∗
is defined by
a
∗
b
=
a
b
5
for all
a
,
b
∈
Q
. Find the identity element
∗
in Q. Also prove that every non-zero element of Q is invertible.
cbse
class12
maths
sec-e
ch1
answered
Nov 20, 2016
by
priyanka.c
1
answer
Fine the maximum and minimum value of
f
(
x
)
=
x
+
sin
2
x
in the invervat
0
,
2
π
cbse
class12
maths
sec-e
ch6
answered
Nov 19, 2016
by
priyanka.c
1
answer
Show that function
f
:
R
→
R
given by
f
(
x
)
=
x
3
+
x
I a bijection.
cbse
class12
maths
sec-e
ch1
answered
Nov 18, 2016
by
priyanka.c
1
answer
If the function
f
:
[
1
,
α
)
i
m
p
l
i
e
s
[
1
,
α
)
defined by
f
(
x
)
=
2
x
(
x
−
1
)
is invertible, find
f
−
1
(
x
)
cbse
class12
maths
sec-e
ch1
answered
Nov 17, 2016
by
priyanka.c
1
answer
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