Recent questions and answers in Math

Show that the volume of the greatest cylinder that can be inscribed in a cone of height 'h' and semi-vertical angle $ \alpha $ is $ \large\frac{4}{27}\pi h^3\tan^2 \alpha $.

answered Apr 15 by supriyadutta98

1 answer

If A is a square matrix of order 3 such that |adj A|=64. Find |A'|.

answered Apr 8 by rp075974

1 answer

A square matrix A, of order 3, has | A | = 5, find | A.adj.A |.

answered Apr 8 by rp075974

1 answer

If A is square matrix of order 3 such that | adj.A |=81, find | A |.

answered Apr 8 by rp075974

2 answers

If A is an invertible matrix of order 3 and |A|=5 then find [adj.A].

answered Mar 20 by vinothperiyasamy.1991

1 answer

A small manufacturer has employed 5 skilled men 10 semi - skilled men and makes an article in two qualities deluxe model and an ordinary model. The making of a deluxe model requires 2 hrs work bt skilled man and 2 hrs work by a semi skilled man. The ordinary model requires 1 hr by a skilled man and 3 hrs by a semi skilled man. By union rules no mam may work more than 8 hrs per day. The manufactures clear profit on deluxe model is Rs.15 and an orsinary model is Rs. 10. How many of each type should be made in order to maximize his total daily profit.

answered Mar 18 by neenanagpal21

1 answer

Find the equation of the plane which contains the line of intersection of the planes $ \overrightarrow r. (\hat i + 2\hat j + 3\hat k ) -4 = 0 \overrightarrow r. (2\hat i + \hat j - \hat k ) + 5 = 0$ and which is perpendicular to the plane $\overrightarrow r. (5\hat i + 3\hat j - 6\hat k ) + 8 = 0 $ .

answered Mar 17 by kavithakavitha1805

1 answer

Three persons,A,B and C,fire at a target in turn,starting with A.Thier probability of hitting the target are 0.4,0.3 and 0.2 respectively.The probability of two hits is

answered Mar 12 by meena.clay6

1 answer

Let * be a binary operation on set Q of rational numbers defined as ab = $ \large\frac{3ab}{7} $. Write the identity for , if any.

answered Mar 11 by goguramchoudhary

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(a)Draw a circuit diagram of an n-p-n transmitter with its emitter base function forward biased and base collector junction reverse biased. Describe briefly its properties (b) Explain how a transistor in active state exhibits a low resistance at its emitter base junction and high resistance at its base collector junction .

answered Mar 5 by ujjawalkthakur

1 answer

A matrix A, of order 3 x 3, has determinant 4 find the value of |3A|.

answered Feb 24 by hargunnsingh633

1 answer

Find the equation of the plane passing through the points ( 1, 2, 3 ) and (0, -1, 0 ) and parrallel to the line, $ \large\frac{x-1}{2} = \frac{y+2}{3} = \frac{z}{-3} $.

answered Feb 21 by ayankumarroy7

1 answer

Which one of the following is a bird flu virus?

answered Feb 14 by lpmvenkateswaran621

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

answered Jan 12 by singhankush1356

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

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