Recent questions and answers in 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.

answered Apr 26, 2021 by kuppurajanbharathi

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Let $f:R_+\rightarrow[-5,\infty) $ given by $f(x)=9x^2+6x-5.$ show that f is invertiable with $ f^{-1}(y)=\frac{\sqrt{y+6}-1}{3}.$

answered Mar 21, 2020 by hk0312109

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Differentiate ‘Cry’ and ‘cry’

answered Apr 9, 2019 by priyanka.clay6

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Which one of the following is a bird flu virus?

answered Feb 14, 2019 by lpmvenkateswaran621

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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.

answered Jan 24, 2018 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.

answered Jan 24, 2018 by nimmisivapuri.d5

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Draw a plot showing the variation of photo electric current against the intensity of incident validation on a given photo sensitive surface.

answered Sep 4, 2017 by throttlespec

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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.

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

answered Jul 5, 2017 by pady_1

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During reproduction, the chromosome number (2n) reduces to half (n) in the gametes and again the ori

answered Jun 14, 2017 by pady_1

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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 :

answered Dec 27, 2016 by priyanka.c

1 answer

Find the area of the region $\{ (x,y) : 0 \leq y \leq x^2, 0 \leq y \leq x+2 , 0 \leq x \leq 3\}$

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 $x -2y +z -7 = 0$

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.

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 ?

answered Dec 22, 2016 by priyanka.c

1 answer

Integrate $\begin{align} \int \frac{\sin(x+a)}{\sin (x+b)} dx\end{align} $

answered Dec 22, 2016 by priyanka.c

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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.

answered Dec 22, 2016 by priyanka.c

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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 ?

answered Dec 22, 2016 by priyanka.c

1 answer

Evaluate $\begin{align} \int \limits_{-1}^{3/2} |x \sin {\pi \; x}| dx \end{align}$

answered Dec 22, 2016 by priyanka.c

1 answer

Find the condition that the curves $2x= y^2$ and $2xy = k $ intersect orthogonally.

answered Dec 21, 2016 by priyanka.c

1 answer

Differentiate $x ^{\sin ^{-1} x}$ w.r.t $\sin^{-1} x$

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 $x=c$

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.

answered Dec 21, 2016 by priyanka.c

1 answer