Recent questions in Relations and Functions

Differentiate ‘Cry’ and ‘cry’

asked Apr 9, 2019 by priyanka.clay6

1 answer

Give an account of Hershey and Chase experiment. What did it conclusively prove? If both DNA and pro

asked 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

asked Jun 14, 2017 by pady_1

1 answer

Which one of the following is a bird flu virus?

asked Jan 25, 2017 by priyanka.c

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 :

asked Dec 27, 2016 by priyanka.c

1 answer

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

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

asked 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.

asked 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 ?

asked Dec 22, 2016 by priyanka.c

1 answer

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

asked 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.

asked 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 ?

asked Dec 22, 2016 by priyanka.c

1 answer

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

asked Dec 21, 2016 by priyanka.c

1 answer

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

asked Dec 21, 2016 by priyanka.c

1 answer

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

asked 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 $x=c$

asked 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.

asked Dec 21, 2016 by priyanka.c

1 answer