Unanswered Mathematics Questions

two straight lines rotate abt two fixed points (-a,0) and (a,0) . if they start from their position of coincidence such that one rotates at the rate double the other, then... locus of the curve is ?? ... 1)circle 2)pa ...

if f(x) = tan2[pi x/(n2-5n+8)] + cot [(n+m)pi x] (n ε N , m ε Q) is a periodic function with '2a' as its fundamental period then find the set of values of 'm' ? ...

Sorry double post correct link: http://targetiit.com/iit_jee_forum/posts/passage_on_matrices_2327.html ...

There are 10 applicants for a job, labeled 1, 2, ... , 10. Their suitability for the job is ranked in this order (so 1 is more suitable than 2, who is more suitable than 3 and so on). But an applicant's ability is only measur ...

another brilliant one { only for those who now come to 12th class} {who are writing jee 2009, better leave this. u can sit on this after april 12. dont waste your time now.} Find all surjectyive functions f:N→N such that fo ...

BT vs FIITJEE (keeping following in mind) 1.in terms of no of students taking 2.whose percentile is almost equivalent to iit jee(imp) 3.whose que r closely related to iit pleaseeeeeeeeeee give ur votes am in need of it ...

Through the vertex O of the parabola y2=4ax, chords P and Q are drawn at right angles to one another. Show that for all positions of point P, PQ cuts the axis of the parabola at a fixed point. Also find the locus of middle po ...

suppose there are 997 points given in a plane. if every two points are joined by a line segment with its mid point coloured in red, show that there are atleast 1991 red points in the plane. can u find a special case with exac ...

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A town has several clubs. Given any two residents there is exactly one club that both belong to. Given any two clubs, there is exactly one resident who belongs to both. Each club has at least 3 members. At least one club has ...

I was seeing a website.. which I recommend everyone to see... for the sake of mathematics not JEE.. These are many ways you can look(prove) AM-GM inequality! http://jwilson.coe.uga.edu/EMT725/AMGM/AMGM.html *Image* ...

wrong post sorry ...

If \alpha =e^{2i\pi/11 } and f(x)=5+\sum_{K=1}^{60}{A_K{x^{K}}} then find value of 100\sum_{r=0}^{10}{f(\alpha ^{r}x}) ...

i find it hard to these questions........... so plz help 1) (2cos40 -cos20)/sin20 2) tan10-tan50+tan70 ...

The integers a and b have the property that for every nonnegative integer n, the number 2^{n}a+b is the square of an integer. Show that a=0. ...

Suppose that p is a prime number and is greater than 3 . Prove that 7^{p}-6^{p}-1 is divisible by 43. ...

Find all positive integers, representable uniquely as \frac{x^{2}+y}{xy+1} where x and y are positive integers. ...

In an ellipse, the tangent at P meets in T and t, and CY is the pependicular on it from the centre; prove thet 1) Tt.PY = a2 - b2 and 2) the least value of Tt is a+b. ...

From a point P, perpendicular PM and PN are drawn to two straight lines OM and ON. If the area OMPN, be constant, then prove that the locus of point P is a hyperbola. ...

Find all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1) ...

Find all positive integral solutions (a,b,c) to the equation (a+1)(b+1)(c+1)=2(abc + 1) ...

Twenty-one girls and twenty-one boys took part in a mathematics competition. It turned out that (i) each contestant solved at most six problems, and (ii) for each pair of a girl and a boy, there was at least one problem that ...

In a society of n people, any two persons who do not know each other have exactly two common acquaintances, and any two persons who know each other don’t have other common acquaintances. Prove that in this society every per ...

A device consists of 4n elements, any two of which are joined by either a red or a blue wire. The numbers of red and blue wires are the same. The device is disabled by removing two wires of the same color connecting four di e ...

sveral numbers are written in a row. in each move, john choses any 2 adjacent numbers in which one on the left is greater than one on the right, doubles each of them and switches around. prove that roberts cn make only a fini ...

in expansion of 1/(1-ax)(1-bx) = a0 + a1x +... an then wat is an? ...

find the locus of the the point of the intersection of the normals to the parabola x2=8y which are at right angles to each other . ...

circles are described on any two focal chords of a parabola as diameters . prove that their common chord passes through the vertex of the parabola . ...

Could anyone please post a copy of all B.Stat Subjective Questions? ...

Prove that √(7/2) ≤ |1 + z| + |1 − z + z2| ≤ 3√(7/6) for all complex numbers with |z| = 1. ...