Recently Active Mathematics Questions

Plz help 1.find the area of traingle formed by the lines y-x=0;x+y=0 and x-k=0. 2.the line 7x-9y-19=0 is perpendicular to the line through the points(x,3) and (4,1), find the value of x. ...

Q) \int ( \frac{1}{\sqrt[3]{x} + \sqrt[4]{x}} + \frac{ln( 1 + \sqrt[6]{x}}{\sqrt[3]{x} + \sqrt[]{x}} ) dx ...

1) A sequence of real number xn is defined as follows... x0 , x1 are arbitary +ve real numbers and xn+2 = 1+xn+1 /xn ,n = 0,1,2,........ Then x2011 is a) 1 b) x0 c) x1 d) x2 2)The eq. log2x 2/x (log2x)2 + (log2x)4 = 1 has a) ...

Locus of z if 3π/4 when !z! ≤ !z-2! arg [z–(1 + i)] = and is ? -π/4 when !z! > !z-2! (A) Straight lines passing through (2, 0) (B) Straight lines passing through (2, 0), (1, 1) (C) A line segment (D) A set of two rays ...

3 ...

An equilateral triangle is divided into 36 smaller equilateral triangles by dividing each side into 6 parts and joining the corresponding points on adjacent sides of the triangle. *Image* There is a drunk ant at each of the 2 ...

There is a machine with 8 toys in it that each cost between 25 cents and 2 dollars, with each toy being 25 cents more expensive than the next most expensive one. Each time Sam presses the big red button on the machine, the ma ...

1. Prove that for all real x,y the value of x2+2xy+3y2-6x-2y cannot be less than -11. More I'll Post later. ...

1. If sinA + sinB = 2 what is the value of sin(A+B) ? 2. If cos (\beta - \gamma ) + cos (\gamma - \alpha )+cos(\alpha - \beta )= - 3 / 2 show that cos\alpha + cos\beta + cos\gamma = 0 and sin \alpha + sin \beta + sin \gamma = ...

ques- solve for θ: tan2θ.tanθ = 1 i found two ways of solving this but both of them are giving different answers I - by using tan2θ = 2tanθ/1-tan2θ and solving for tanθ ,i got tanθ = ± 1/√3 ie θ = nΠ± Π/6 II - ...

log7 log7{7+[7+(7+.......∞)1/2]1/2}1/2 find its value..... ...

Here is a very good trick to find a pythagorian triplet: 1.Square a number. 2.Add 1 to that number and subtract 1 from it 3.Divide the two numbers by 2 4.All the three numbers will give you a pythagorian triplet For eg: 1. 52 ...

Can anyone plz explain the use of complex numbers ( de-moivre's theorem) in finding out the integral of type ∫sinmxcosnxdx , where both m,n are positive integers. ...

let f:R-->R is a continous function on [1,3].let f(x) takes rational valeus for all x.if f(2)=10.f'(2)=0.find f(x) and f(1.5) ...

If cos(A-B)=1/2 and sin(A+B)=1/2 ,find the smallest positive values of A and B and also their most general values . ...

A+B+C=180 degree. Prove that, 1)sin(B+2C) + sin (C+2A) + sin(A+2B) = 4sin(B-C)/2* sin(C-A)/2 *sin(A-B)/2 2) (sin2A+sin2B+sin2C)/(sinA+sinB+sinC) = 8*sin(A/2)*sin(B/2)*sin(C/2) 3)sin(B+C-A) + sin(C+A-B) + sin(A+B-C) =4sinAsinB ...

Sum to n terms: 2/3 + 8/9 + 26/27 + 80/81 ... Ans: n - 1/2(1 - 3-n) ...

1st one is JEE 2010 quesn..... Lest s ={ 1 , 2 , 3 , 4 } . What r the total no. of unordered pairs of disjoint subsets of S ? 2. Let {x } and [x ] denote the fractional and integral part of a real no. x respectively. solve 4 ...

What is the exact value of cos 5° + cos 77° + cos 149° + cos 221° + cos 293°? ...

Which of these is true? Infinity a perfect square? Infinity is a Real Number Infinity is a Even number It is an odd number It is both even and odd It is neither even nor odd It is a Integer It is a rational number It is an ir ...

1) \int \frac{x^3+x+1}{x^2-1}dx 2) \int \frac{tan\theta +tan^3\theta }{1+tan^3\theta }d\theta 3) \int \sqrt{cotx}dx ...

Wanted to know whats the main point to keep in mind when solving trigonometries. Most of the time i find it REALLY difficult. for e.g. i jus could not solve this eliminate θ from the following sinθ.sinθ/cosθ= a^3 and cosΠ...

signum fn is defined as sgn x= |x|/x ={1 if x>0 {0 if x=0 {-1 if x<0 when x=0 sgn x will become 0/0 which is indeterminate. so how is its value 0? ...

When the moon is setting at any given place ,the angle that is subtended at its center by the radius of earth passing through the given place is 57' If the earth's radius be 6400 km ,find approximately the distance of the moo ...

1. If f: [-1 , 1] -> R and f ' (0) = limit n tends to infinity nf (1/n) and f(0) = 0 . Find the value of lim n tends to infinity 2/pi (n+1) cos inverse (1/n) - n . Given that 0< mod ( limit n tends to infinity cos inver ...

1) Why and how any root of an imaginary number is an imaginary number? I would be grateful if someone give me a deep knowledge about it. :) ...

Just like 2 is the smallest natural number which can be represented a sum of two cubes in one way. i.e. - 2 = 13 + 13 Find the smallest natural number representable in two different ways as a sum of two cubes. ...

WHAT IS A 9-POINT CENTRE?? ...

*Image* rrom arihanr ...

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits,1,2 and 3 only,is: a)55 b)66 c)77 d)88 I got b)66 as the answer but tata mcgraw hill says that c)77 is the answer.who is ri ...