Recently Active Mathematics Questions

$\textbf{Solve for real system of equation}\\\\ $\mathbf{3.(x^2+y^2+z^2)-2(xy+yz+zx)=1}$\\\\ $\mathbf{x+y-z=-1}$ ...

the 'set of all squares in a plane' is the subset of 'all rectangles in the same plane'...T/F? ...

This is created by me i am quite sure it is correct looking for a rigorous proof Find the value of \lim_{n\rightarrow \infty}cos^{(n)}(t) where cos^{(1)}(x)= cos(x) , cos^{(n)}(x)= cos(cos^{(n-1)}(x)) n is a natural number an ...

well...no takers :( ...

if a,b and c are in A.P then prove that, (b + c), (c + a) and (a + b) are also in A.P ...

tangents AP and AQ are drawn from A(1,2) to the circle x2 + y2 + 4x + 2y +1 = 0. then the equation of the line joining the mid points of AP and AQ.? ...

1.Prove that the number between a pair of twin prime numbers is always divisible by 2. Twin prime numbers are prime numbers whose difference is 2. ...

2 distinct chords drawn from the point (p,q) on the circle x^2 + y^2 = px + qy. pq≠0. are isected by the x axis then P.T. p^2 > 8Q^2 ...

c1 is a circle of radius 1 touching the x axis and the y axis. c2 is another circle of radius > 1 and touching the axes as well as the circle c1. then the radius of c2 is ...

Q1. \mathrm{f(x)=x+\int_{0}^{1}(xy^2+x^2y)f(y)dy} ,\texttt{Then f(x) attains a minimum at} \\ \\ (A)x=\frac{9}{8} \ \ \ \(B)x=\frac{-9}{8} \\ \\ (A)x=0 \ \ \ \(D)x=1 Q2. \texttt{Let f(x) be a positive , continuous and differe ...

1. \int \left( \sqrt{x+\sqrt{x^2+a^2}}\right)dx ...

You people in 9th and 10th might find this really useful :) http://library.thinkquest.org/20991/alg2/graphs.html ...

Dear friends The contest session of IMO 2011 starts tomorrow Lets root for our team. You can check them out http://official.imo2011.nl/year_reg_team.aspx?year=2011&code=IND. Its great to see a girl member, Mrudul Thatte on th ...

IF cos(a-b), cos(a) and cos(a+b) are in HP find cos(a)sec(b/2) ...

prove that for all integers, n > 7 C (n,7) - [n/7] is divisible by 7. here [.] denotes the greatest integer less then or equal to the number in the bracket. i tried it but all i could get was that for values of n in [7,13] ...

solve for x . (x2 + x -3)3 + (2x2 - x - 1)3 = 27(x2 - 1)3 ...

$\textbf{Prove that} $\mathbf{\int_{0}^{\frac{\pi}{3}}\ln^2\left(2\sin\frac{x}{2}\right)dx=\frac{7\pi^3}{108}} ...

IF A= ( 3,4 ) AND B IS VARIABLE POINT ON THE LINES X= 6 . IF AB ≤4 THEN THE NUMBER OF POSITIONS OF B WITH INTEGRAL CO-ORDINATES IS a. 5 b.6 c.10 d.12 ...

prove it plz... sin3a-cos3a=(sin2a-cos2a)(1-2sin2acos2a) ...

help me friends! Find the general solution of following trigonometric equations- 1) solve cos4x + sin4x = 2 cos ( (2x) + (pi/6)) cos ( (2x) - (pi /6)) 2) Solve sin2x + 2tan2x + ((4/ 3 ) tanx) - sinx + (11/12) = 0 3) 2sin (x + ...

This is a confusion... \lim_{x\rightarrow 0}\left[\frac{5sinx}{x} \right] = ? \left[. \right] \; is \; gif my vote is 5 . opponent is 4 . what's your vote ? (also explain) ...

P(x) is a quadratic such that (1) its leading coefficient is 1 (2) P(x) and P(P(P(x))) share a root. Then prove that P(0)*P(1)=0 ...

1)∫ x2-1/(x2+1)(√x4+1) dx 2)∫sin-1( 2x+2/√(4x2+8x+13) )dx ...

1. Find the equation of the cirlce whose centre is (3,-1) and which cuts off an intercept of length 6 from the line 2x - 5y + 18 = 0 first of all what is meant by "which cuts off an intercept of length 6 from the the line 2x ...

If A2 - A+ I =0 then the inverse of A is 1. A+I 2.A 3.A-I 4.I-A ...

Prove the following identities:- (1-cos2A)/sin2A - sin2A/(1+cos2A) = tanA Is the question correct??? ...

If A=sin2x +cos4x,then for all real x: a. 3/4 ≤A≤ 13/16 b. 3/4 ≤A≤1 c. 13/16 ≤A≤1 d.1≤A≤2 please provide a detailed solution to the above problem. Thank You. ...

Since I am posting after a long time , I am starting with a very elemental problem which is in fact incorrectly solved in Arihant ............... But I loved solving it ........... Find the number of 2 numbers " x " and " y " ...

*Image* ...

how to take the intersection of these three inequalities 1> 6x^2 - 5x + 1 < 0 2> 3x^2 + 2x - 1 > 0 3> 2x^2 + x - 3 < 0 please help i m muddledersection of these three inequalities 1> 6x^2 - 5x + 1 < 0 ...