Recently Active 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 ...

why does electromagnetic field is created around an oscillating charged particle ...

Bullets are being fired vertically up from a gun with an initial speed of 20m/s at an interval of 1 second. Find the number of bullets the 7th bullet will meet in its path. [Ans. is 4 bullet while going upwards and 4 bullets ...

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}} ...

in beta-emmision 0n1 -----> +1p1 + -1e° what do the superscript and subscript mean?? if superscript means mass .... is it approximaed 0 for electron ?? ...

i got 2493 state rank and 98000 air i am from karnataka will i get a seat in nit-surathkal (mech) ...

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) ...

draw graph between V AND R ...

If cotθ = - p/q, then the value of (p cosθ - q sinθ)/(p cosθ + q sinθ) is ...

Ques. A motor car is going due north at the speed of 50 km\hr. It makes a 90° left turn without changing its speed. The change in velocity is about A. 50km\hr towards west B.70 km\hr towards south west C.70km\hr towards nort ...

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 ...

QUES. A long u shaped wire of width l placed in a perpendicular magnetic field B. A wire of length l is slide on the u shaped wire with a constant velocity u towards right. The resistance of all the wires is r per unit length ...