info@clay6.com
+91-9566306857
Ask Questions, Get Answers
Menu
X
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
studyplans
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
CBSE XII
Math
JEEMAIN
Math
Physics
Chemistry
Practice Test Series
CBSE XI
Math
NEET
Physics
Chemistry
Biology - XII
Biology - XI
Olympiad class V
Math - 5 Test Series
Olympiad class VI
Math - 5 Test Series
CBSE XII Board Exam Series
BES Math
BES Physics
BES Chemistry
BES Biology
mobile
exams
ask
sample papers
tutors
pricing
login
X
Recent questions and answers in Relations and Functions
ASK
Home
>>
CBSE XII
>>
Math
>>
Relations and Functions
Prove that relation R defined on the set N of natural numbers by \[x\;R\;y \Leftrightarrow 2x^2-3xy+y^2=0\] is not symmetric but it is reflexive.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q27
p4
math
sec-b
answered
Jan 24
by
nimmisivapuri.d5
1
answer
Let $f : A \rightarrow B$ be a given function. A relation R in the set A is given by $R = {(a,b) \varepsilon A \times A : f(a) = f(b)}.$ Check, if R is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q23
p4
math
sec-b
answered
Jan 24
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) \Leftrightarrow ad(b + c) = bc(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
Which one of the following is a bird flu virus?
cbse
class12
biology
zoology
neet
sec-a
asked
Jan 25, 2017
by
priyanka.c
0
answers
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 $\{ (x,y) : 0 \leq y \leq x^2, 0 \leq y \leq x+2 , 0 \leq x \leq 3\}$
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 $x -2y +z -7 = 0$
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 $200 cm^3$. 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 $\begin{align*} \int \frac{\sin(x+a)}{\sin (x+b)} dx\end{align*} $
cbse
class12
maths
ch1
sec-c
answered
Dec 22, 2016
by
priyanka.c
1
answer
Express the matrix $A = \begin{bmatrix} 3 & 2 & 3 \\ 4 & 5 & 3 \\ 2 & 4 & 5 \end{bmatrix}$ 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 $\begin{align*} \int \limits_{-1}^{3/2} |x \sin {\pi \; x}| dx \end{align*}$
cbse
class12
maths
ch1
sec-c
answered
Dec 22, 2016
by
priyanka.c
1
answer
Find the condition that the curves $2x= y^2$ and $2xy = 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) = \begin{cases} x^2 ,& x \leq c \\ ax+b , & x> c \end{cases} $ 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 $\ast$ is defined by $a \ast b = a + b + ab$ for all $a,b \in R - \{-1\}$. Prove that $\ast$ is commutative as well as associative on $R -\{-1\}$. Find the identity element on $\ast$ if any.
cbse
class12
maths
ch1
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
Evaluate : $\tan \begin{bmatrix} \frac{\pi}{4} + \frac{1}{2} \cos^{-1} \frac{a}{b} \end{bmatrix} + \tan \begin{bmatrix} \frac{\pi}{4} - \frac{1}{2} \cos^{-1} \frac{a}{b} \end{bmatrix}$
cbse
class12
maths
ch2
sec-c
answered
Dec 21, 2016
by
priyanka.c
1
answer
Using differentials, find the appropriate value of $[0.009] ^ {\frac{1}{3}}$
cbse
class12
maths
ch1
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
If $\overrightarrow {b} \times \overrightarrow {c} = \overrightarrow {c} \overrightarrow {a} \neq 0$, then $\overrightarrow{a} + \overrightarrow {b} = k \overrightarrow {c}$ 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 $y = A \sin 2x + B \cos 2x$
cbse
class12
maths
ch1
sec-b
answered
Dec 20, 2016
by
priyanka.c
1
answer
If $f'(x) = 6x^2+2,$ 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 $y = 7x -x^3$ 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 +\frac{dy}{dx} = \frac{1}{4} \int y dx $
cbse
class12
maths
ch1
sec-a
answered
Dec 20, 2016
by
priyanka.c
1
answer
Let $\ast \; R \times R \to R$ given by $(a,b) \to a + 4b^2$ is a binary operation, compute $-5 \ast (2 \ast 0).$
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. $x +2y = 2, y = x +1$ and $2x +y= 7$
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 $f(x) = 12x^{\frac{4}{3}} - 6x^{\frac{1}{3}} , x \in [-1,1]$
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 $\ast$ on the set {0, 1, 2, 3, 4, 5} as \[a*b=\left \{ \begin{array} {1 1} a+b, & \quad \text{ if a+b<6} \\ a+b-6, & \quad { if a+b \geq 6} \end{array} \right.\] show that the zero is the identity for this operation and each element $a \neq 0$ 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 $f : R \to R$ be given by $f(x) = (3-x^3)^{\frac{1}{3}}$, 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 $f(x) = 3x^2+5x+3$
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 + 15x + 4000$. Find the marginal cost when 10 units are produced.
cbse
class12
maths
ch6
sec-b
answered
Nov 23, 2016
by
priyanka.c
1
answer
Let A = {1, 2}. Find the number of possible binary operations defined on A.
cbse
class12
maths
ch1
sec-b
answered
Nov 23, 2016
by
priyanka.c
1
answer
A balloon which always remain spherical has a variable diameter$ \frac{3}{2} (2x+ 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 $\lambda$, so that the lines $\frac{1-x}{3} = \frac{7y - 14}{2 \lambda} = \frac{z-3}{2} \;and\; \frac{7-7 \lambda}{3 \lambda} = \frac{y-5}{1} = \frac{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 $f(x) = \begin{cases} \frac{\sin ^2 a x}{x^2} & x \neq 0 \\ 1 , & x =0 \end{cases}$ 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 $P(A) = 0.25, P(B) = 0.4 \; and \; P (A \cup B) = 0.5 \; find \; P (A \cap B) \;and \; P (A \cap \bar{B})$
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 $x = t^2 (2 - \frac{t}{3})$. 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 $\ast$ is defined by $a \ast b=\frac{ab}{5}$ for all $a, b \in Q $. Find the identity element $\ast$ 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 2x $ in the invervat $0, 2\pi $
cbse
class12
maths
sec-e
ch6
answered
Nov 19, 2016
by
priyanka.c
1
answer
Show that function $f : R \to R$ 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, \alpha) \ implies [ 1, \alpha)$ 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
Let f : N $\to$ Y be a function defined as $f(x) = 4x + 3f(x)=4x+3$ where $Y = \{ y \in N ; y = 4x + 3Y=\{ y \in N; y= 4x+3$ for some $ x \in N \}x \in N \}$. If 'f' is invertible.
cbse
class12
maths
ch1
sec-e
answered
Nov 14, 2016
by
priyanka.c
1
answer
Prove that $ \cos^{-1}x = 2 \sin^{-1} \sqrt{\frac{1-x}{2}}$
cbse
class12
ch1
asked
Nov 9, 2016
by
priyanka.c
0
answers
In the ground state of hydrogen atom, its Bohr radius is given as $5.3 \times 10^{-11}\;m$ . The atom is excited such that the radius becomes $21.2 \times 10^{-11}\;m$ . Find (i) the value of the principal quantum number and (ii) the total energy of the atom in this excited state.
cbse
class12
physics
sec-b
boardexam
2016
answered
Jun 7, 2016
by
meena.p
1
answer
To see more, click for all the
questions in this category
.
Ask Question
Tag:
Math
Phy
Chem
Bio
Other
SUBMIT QUESTION
►
Please Wait
Take Test
JEEMAIN Crash Practice
15 Test Series
NEET Crash Practice
15 Test Series
JEEMAIN
350+ TESTS
NEET
320+ TESTS
CBSE XI MATH
50+ TESTS
CBSE XII MATH
80+ TESTS
...
close