Recent questions and answers in Math

Which one of the following is a bird flu virus?

answered Feb 14 by lpmvenkateswaran621

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In a metre bridge experiment a student observed a balance point at the point J, where AJ = l. Draw the equivalent Wheatstone Bridge circuit diagram for this setup The values of R and X are both doubles and then interchanged. What would be the new position of the balance point? If in this set up, the galvanometer and battery are interchanged at the balance position, how will the balance point get affected?

answered Feb 11 by riyamalik2001oct

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Let N be the set of all natural numbers and R be the relation on N x N defined by (a, b) R (c, d) if ad = bc. Show that R is an equivalence relation.

answered Feb 10 by gopalkryadavsbg

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Two bags A and B contain 4 white and 3 black balls and 2 white,2 black balls respectively. From bag A, two balls are transferred to bag B. Find the probability of drawing (a) 2 white balls from Bag B? (b) 2 black balls from bag B? (c) 1 white and 1 black ball from bag B?

answered Jan 28 by cherub2001dec

1 answer

Find the equation of a line passing through the point (2,1,3) and perpendicular to the lines $ \large\frac{x-1}{1} = \frac{y-2}{2} = \frac{z-3}{3}$ and $\large\frac{x}{-3}=\frac{y}{2}=\frac{z}{5} $.

answered Jan 26 by abinshaji47

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Relation R in the set of Z of all integers defined as R = {(x, y) : x-y is an integer }.

answered Jan 26 by gunjankumarshahi9199

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Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values X has the following form, where k is some unknown constant. \[ p(X=x) = \left\{ \begin{array}{l l}0.1, & \quad if{ x = 0}\\ kx, & \quad if{ x = 1 \: or\: 2} \\ k(5-x), & \quad if{ x = 3 \: or\: 5} \\ 0, & \quad \: otherwise \end{array}. \right. \] (i) Find the value of K (ii) What is the probability that you study atleast two hours? Exactly two hours? Atmost two hours?

answered Jan 22 by pulkityadav56

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Write the number of all one-one functions from the set A = { a, b, c} to itself.

answered Jan 12 by singhankush1356

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A and B throws a pair of die turn by turn. The first to throw 9 is awarded by a prize. If A starts the game, show that the probability of A getting the prize is $\large \frac{9}{17} $.

answered Jan 12 by ankitgupta1301789

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Find the area of circle $ x^2+y^2=16$ which is exterior of the parabola $ y^2=6x$.

answered Jan 10 by www.rahimlaskar786

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The probability that student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university: • None will graduate, • Only one will graduate, • All will graduate.

answered Jan 8 by subasri.arasu

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Let N be the set of natural numbers and R be the relation in N defined as $R = {(a, b) : a = b – 2, b > 6}$. Then \[ \begin{array} ((A)\: (2, 4) ∈ R \quad & (B)\: (3, 8) ∈ R \\ (C) \: (6, 8) ∈ R \quad & (D)\: (8, 7) ∈ R. \end{array} \]

answered Jan 3 by valasenthil

1 answer

Find the direction cosines of a line, passing through origin and lying in the first octant, making equal angles with the three coordinates axes.

answered Dec 28, 2018 by goyat78606

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The probability that a student entering an university will graduate is 0.4. Find the probability that out of 3 students of the university: (i) none will graduate (ii) only one will graduate (iii) all will graduate.

answered Dec 26, 2018 by shekhar81123987320

1 answer

If $ A=\begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix},\;then\;A^5=?$

answered Dec 25, 2018 by awokekefale2018

1 answer

Find the area included between the parabolas $ y^2=4ax\;and\;x^2=4ay$

answered Dec 25, 2018 by kamaleshtiwari129

2 answers

What is the angle between the direction of electric field at any. (i) axial point and (ii) equatorial point due to an electrical dipole ?

answered Dec 22, 2018 by snhaich

1 answer

A company has two plants to manufacture motor cycled. 70% motor cycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motor cycles are rated of the standard quality while at the second plant, 90% are rated of standard quality. A motor cycle, randomly picked up, is found to be of standard quality. Find the probability that it has come out from the second plant.

answered Dec 20, 2018 by randhirsingh6315

1 answer

The potential difference across the collector of a transistor, used in common emitter mode is $1.5\;V,$ with the collector resistance of $3\;k \Omega.$ Find 1. The emitter and 2. The base current, if the d.c. gain of the transistor is $50$

answered Dec 12, 2018 by mg.sankkar

1 answer

Two bags A and B contain 2 white, 4 red and 3 white, 3 red balls respectively. One of the bags is selected at random and a ball is drawn from it. If the selected ball is of white colour, find the probability that it is drawn from bag A.

answered Dec 6, 2018 by hrithwikp

1 answer

Verify Lagrange's mean value theorem for the following function : $ f(x) = \sin \: x - \sin\: 2x \: in \: [0, \pi ] $

answered Dec 6, 2018 by kp5018800

1 answer

A catering agency has two kitchen to prepare food at two places A and B. From these places 'Mid-day Meal' is to be supplied to three different schools situated at P, Q , R. The monthly requirement of the school are respectively 40,40 and 70 food packets. A packet contains lunch for 1000 students. The capacity of kitchen A and B are 60 and 70 packets per month respectively. The transportation cost per packets from the kitchens to school is given below : How many packets from each kitchen should be transported to school so that the cost of transportation is minimum? Also find the minimum cost.

answered Nov 30, 2018 by vanshgreat08

1 answer

Find the scalar and vector components of the vector with initial point ( 2, 1 ) and terminal point ( -5, 7 ).

answered Nov 29, 2018 by ranjani.hogwarts

1 answer

tan^-1 + cos^-1(-1/2) + sin^-1(-1/2)

answered Nov 24, 2018 by gujjarkavitakasana

1 answer

Show that the four points ( 0, -1, -1 ), ( 4, 5, 1 ) and (-4, 4, 4 ) are coplanar. Also find the equation of the plane containing them.

answered Nov 21, 2018 by lneha286

1 answer

Examine which of the following is a binary operation.

answered Nov 21, 2018 by basumbonika96

1 answer

State the relation between the frequency $\gamma$ of radiation emitted by LED and the band gap energy $E$ of the semiconductor used to fabricate it .

answered Nov 20, 2018 by sukhnoorsingh234

1 answer

Find the equation of plane determined by the points A(3, -1, 2), B(5, 2, 4) and C(-1, -1, 6). Also find the distance of the point P(6, 5, 9) from the plane.

answered Nov 17, 2018 by adithya.vinod

1 answer

Find the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3)

answered Nov 10, 2018 by gargtanu21

1 answer

Coloured balls are distributed in three bags as shown in the table below, a bag is selected at random and then two balls are randomly drawn from the selected bag. They happen to be black and red. what is the probability that they came from bag 1 ?

answered Nov 7, 2018 by classicshameer10

1 answer

Two dice are thrown. Find the probability that the number appeared have a sum 8 if it is known that second dice always exhibits 4.

answered Nov 2, 2018 by sk334122

1 answer

Prove that an angle in a semi-circle is a right angle (using vector only).

answered Oct 30, 2018 by ranjani.hogwarts

1 answer

Solve the differential equation $ (x+y)dy+(x-y)dx=0$

answered Oct 25, 2018 by avinashanand2017

1 answer

Solve the differential equation: dy/dx=(x+y+1)/(x+y)

answered Oct 21, 2018 by niteshp282000

1 answer

What is the polarizing angle of medium of refractive index $1.732$?

answered Oct 12, 2018 by lujianathary

1 answer

The surface area of a balloon being inflated, changes at a rate proportional to time t. If initially its radius is 1 unit and after 3 seconds it is 2 units, find the radius after time 't'.

answered Oct 7, 2018 by goyalpriyanka4567

1 answer

Show that the height of the cylinder of maximum volume that can be inscribed in a sphere of radius R is $ \frac{2R}{\sqrt 3} $. Find the volume of the largest cylinder inscribed in a sphere of radius R.

answered Sep 28, 2018 by ramssunny77

1 answer

The force on an electron kept in an electric field in a particular direction is F. What will be the magnitude and direction of the force experienced by a proton kept at the same point in the filed ? Mass of the proton is about $1836$ times the mass of the electron

answered Sep 2, 2018 by aditya.p2410

2 answers

Evaluate : $ \int \tan^{-1} \sqrt{ \large\frac{1-sinx}{1+sinx}}dx. $

answered Aug 9, 2018 by bhaskar.kumar582000

1 answer

A metallic sphere is placed in a uniform electric field as shown in the figure. which path is folllowed by electric field lines? why ?

answered Aug 9, 2018 by saniasalam2017

2 answers

Evaluate : $\tan^{-1} (1) + cos^{-1} ( \frac{-1}{2} )+ \sin^{-1} (\frac{-1}{2})$

answered Jul 16, 2018 by punitakharb430

2 answers

Let A = N x N and * be a binary operation on A defined by (a,b)(c,d)=(ac,bd), show that : (i) (A) is commutative. (ii) (A*) is associative (iii) Find the identity element, if any, in A.

answered Jul 8, 2018 by s.kpandey26

1 answer

If $ A=\begin{bmatrix} 3 & 1 \\ 7 & 5 \end{bmatrix}$ find x and y such that $ A^2+xl=yA.\;Find\;A^{-1}.$

answered Jun 20, 2018 by vasuloki708

1 answer

Show that of all the rectangles of given area, the square has the smallest perimeter.

answered Jun 9, 2018 by anshikamaheshwari28

1 answer

For what value of k is the following function continuous at x = 2? $ f(x) = \left\{ \begin{array}{l l} 2x+1, & \quad { x < 2}\\ k, & \quad \text{ $x$ = 2} \\ 3x-1, & \quad \text{ $x$ > 2} \end{array}. \right.$

answered May 29, 2018 by dwivediprachi09

1 answer

Give an example of relation which is reflexive but neither symmetric nor transitive.

answered Apr 11, 2018 by harishahmad6

1 answer

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each corner and folding up the flaps to form a box. What should be the side of the square to be cut off so that volume of the box is maximum?

answered Apr 9, 2018 by rahulrkchauhan123456789

1 answer

A coin is based so that the head is 3 times as likely to occur as tail. If the coin is tossed three times, find the probabilty distribution of number of tails.

answered Mar 20, 2018 by akkhola2000

1 answer

A catering agency has two kitchens to prepare food at two places A and B. From these place " Mid-day meal' is to be supplied to three different schools situated at P, Q, R. The monthly requirements of the schools are respectively 40, 40 and 50 food packets. A packet contains lunch for 1000 students. Preparing capacity of kitchen A and B are 60 and 70 packets per month respectively. The transportation cost per packet for the kitchen to school is given below. How many packets from each kitchen should be transported to school so that the cost of transportation is minimum? Also find the minimum cost.

answered Mar 20, 2018 by prakashkumarsingh.ktr

1 answer

The function $ f(x)=2 log (x-2) - x^2+4x+1 $increases in the interval.\[(a)\;(1,2)\qquad(b)\;(2,3)\qquad(c)\;(5/2,3)\qquad(d)\;(2,4)\]

answered Mar 7, 2018 by ranjani.hogwarts

1 answer

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