Recent questions and answers in Math

Use definite integration, find the area of triangle whose vertices are (-1,6),(1,2) and (5,4).

answered May 21 by sreejaunnikrishnan161

1 answer

An AC voltage of peak $20\;V$ is connected in series with a silicon diode and a load resistance of $500 \Omega$. The forward resistance of the diode is $10 \Omega$ and the barrier voltage is $0.7\;V$. Find the peak current through diode and the peak voltage across the load. What will happen to these values if the diode is assumed to be ideal?

answered Apr 2 by manishkr1456

1 answer

Show that the area enclosed by the circle $ x^2+y^2=64a^2$ and the parabola $y^2=12ax$ is $ a^2 \bigg(\frac{16}{\sqrt 3}+\large\frac {64\pi}{\sqrt 3}\bigg)$

answered Apr 1 by aparme03

1 answer

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 by hk0312109

1 answer

Give an example to show that the relation R in the set of natural numbers, defined by $ R = ( (x,y), x, y \in\: N, x \leq \: y^2) $ is not transitive.

answered Mar 20 by neelurani06041980

1 answer

The area of the region in the first quadrant enclosed by the x-axis,the line y=x and the circle $x^2+y^2=32$ is \begin{array}{1 1}(A)\;16\pi\; sq.units & (B)\;4\pi \;sq.units\\(C)\;32\pi\; sq.units & (D)\;24\pi\;sq.units \end{array}

answered Mar 17 by kharbans823

2 answers

What is the degree of the following differential equation? $ y\large\frac{d^2y}{dx^2}+\bigg(\frac{dy}{dx} \bigg)^3$$=x \bigg( \large\frac{d^3y}{dx^3} \bigg)^2 $

answered Mar 17 by anilmathappsc

1 answer

Find the order and degree of the differential equation $\bigg[ 1+ \bigg(\large \frac{dy}{dx} \bigg)^2 \bigg]^{\large\frac{3}{2}} = \frac{d^2y}{dx^2} $

answered Mar 17 by anilmathappsc

1 answer

Find the area of the region enclosed between the circles $ x^2+y^2=1\;and\;\bigg(x-\frac{1}{2}\bigg)^2+y^2=1$

answered Mar 16 by msq6786

1 answer

Let X denote the sum of the numbers obtained when two fair dice are rolled. Find the variance and standard deviation of X.

answered Feb 18 by surafelalemgirma91

2 answers

Find the equation of the plane passing through the intersection of planes $ 4x-y+z=10\: and \: x+y-z=4$ and parallel to the line with direction ratios < 2, 1, 1>. Find also the perpendicular distance of (1, 1, 1) from the plane.

answered Feb 17 by jyotiverma221997

1 answer

Find the area of the segment cut off from the parabola $ y^2=2x$ by the line $ y=4x-1$

answered Dec 22, 2019 by gourishanker2431

1 answer

Let A = set of boys of XII class in some school. Let a R b, if and only if a and b use unfair means in the exam, $ a, b \in A$ Is R a transitive relation?

answered Oct 25, 2019 by Dadwalgaurav07

1 answer

To test the quality of electric bulbs produced in a factory, two bulbs are randomly selected from a large sample without replacement. If either bulb is defective, the entire lot is rejected. Suppose a sample of 200 bulbs contains 5 defective bulbs. Find the probability that the sample will be rejected.

answered Sep 18, 2019 by addisutheking

1 answer

find the equation of the normal to the curve y=x^3+2x^2 at x=0 find the coo

answered Jul 20, 2019 by noorlh

1 answer

From the point P(1, 2, 4 ) a perpendicular is drawn on the plane $ 2x+y-2z+3 = 0 $. Find the equation of the length and coordinates of the foot of the $ \bot $

answered Jul 20, 2019 by vikashkumarpaswan858

1 answer

P(A speaks truth is) = 4/5 . A coin is tossed. 'A' reports that a head appears. The probability that actually there was a head is.

answered Jul 13, 2019 by fad.vhora

1 answer

A speaks truth 8 times out of 10 times. A dice is tossed. He reports that it was 5. What is the probability that it was actually 5?

answered Jul 13, 2019 by fad.vhora

1 answer

A cylindrical metallic wire is stretched to increase its length by $5\%$. Calculate the percentage change resistance.

answered Jul 9, 2019 by jesanivar

1 answer

Find the volume of the tetrahedron formed by the four planes $x+y=0,y+z=0,z+x=0,x+y=1$

answered Jul 9, 2019 by meena.clay6

1 answer

Given P(A) = 0.3, P(B) = 0.2, Find P(B/A) if A and B are mutually exclusive events.

answered Jul 1, 2019 by abhav31

5 answers

If $ f^1(x)=g(x)\;and\;g^1(x)=-f(x)$ for all n and $f(2)=f^1(2)=4,$ find the value of $f^2(24)+g^2(24)$

answered Jun 24, 2019 by premkht

1 answer

Find the area bounded by the x-axis part of the curve $ y=1+\Large\frac{8}{x^2}$ and the ordinates x = 2 and x = 4 If the ordinate at x = a divides the area into two equal parts find 'a'

answered Jun 8, 2019 by keerthanapradeeshbabu

1 answer

A company makes two kinds of belts, belt A is of pure leather and belt B is macro based. The respective profits are Rs.40 and Rs.30 per belt. Each belt of type A requires twice as much time as a belt of type B and if all the belts were of type B a company could make 1000 belts per day. The supply of leather and macro is sufficient for only 8000 belts per day (both A and B combined). Belt A requires a fancy buckle and only 4000 buckles are available. There are only 7000 buckles per day available for belt B. What should be the daily production of each belt to have maximum profit?

answered Jun 3, 2019 by sripada.teja

1 answer

In Young’s double slit experiment, the two slits $0.15\;m$ apart are illuminated by monochromatic light of wavelength 450nm.$ The screen is $1.0\;m$ away from the slits. 1. Find the distance of the second a) bright fringe b) dark fringe from the central maximum. 2. How will the fringe pattern change, if the screen is moved away from the slits?

answered May 30, 2019 by utkarshguptamahan

1 answer

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, 2019 by supriyadutta98

1 answer

Differentiate ‘Cry’ and ‘cry’

answered Apr 9, 2019 by priyanka.clay6

1 answer

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

answered Apr 8, 2019 by rp075974

1 answer

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

answered Apr 8, 2019 by rp075974

1 answer

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

answered Apr 8, 2019 by rp075974

2 answers

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

answered Mar 20, 2019 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, 2019 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, 2019 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, 2019 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, 2019 by goguramchoudhary

1 answer

(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, 2019 by ujjawalkthakur

1 answer

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

answered Feb 24, 2019 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, 2019 by ayankumarroy7

1 answer

Which one of the following is a bird flu virus?

answered Feb 14, 2019 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, 2019 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, 2019 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, 2019 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, 2019 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, 2019 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, 2019 by pulkityadav56

1 answer

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

answered Jan 12, 2019 by singhankush1356

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

find intervals in which function given by f(x) = sin 3x where x belongs [0, pi/2] is 1 increasing 2 decreasing

asked Feb 26, 2017 by myselfdishu

1 answer

If the points $(1,1,p)$ and $(-3,0,1)$ are at equidistant from the plane $\overrightarrow {r} . (3 \hat {i} +4 \hat {j} -12 \hat {k}) + 13 = 0, $ then find the value of p.

asked Dec 28, 2016 by priyanka.c

1 answer

Ask Questions, Get Answers