Recently Favorited Questions

• Question by Lakshya
  Lakshya: 7:17pm 14-11-08 The question is that there is a right angled triangle ABC right angled at B. The angle bisectors of angle A and C meet at a point P. From P a perpendicular PM is drawn to AC. If the length of PM is 4r ...
  0·7· #Mathematics#Olympiad Stuff
  favorited2012-06-04 07:08:40
• another easy one
  find all functions f:R->R such that for all x,y belonging to - R f(f(x)+y)=f(x2-y) + 4yf(x) this has a two line answer!! ...
  0·13· #Mathematics#Olympiad Stuff
  favorited2012-06-04 07:08:40
• 20th_November_2008
  Part 1: On a circle which circumscribes a n-sided polygon A1,A2,A3,.... An, a point M is taken. Prove that the sum of the squares of the distances from this point to all the vertices of the polygos is a number(independent of ...
  0·16· #Miscellaneous#Question Of the Day
  favorited2012-06-04 07:08:40
• 22th_November_2008
  *Image* Water flows in a circular path as shown.. the speed is such that it flows at a constant speed "v" throughout the width of the river. What is the position of the swimmer who swims perpendicular to the water flo ...
  0·28· #Miscellaneous#Question Of the Day
  favorited2012-06-04 07:08:40
• good one
  *Image* a rod is aligned at a corner as in figure. no friction is there anywhere. it start to slide. prove that it would leave the vertical wall when it's tip is at a height 1/3rd of initial. edit:: the actual question as ...
  0·35· #Physics#Mechanics
  favorited2012-06-04 07:08:40
• e^(x^2)
  Given 1∫2 ex2 dx = a , Find the value of e∫e4 √(logex) dx . ...
  0·31· #Mathematics#Calculus
  favorited2012-06-04 07:08:40
• toughhhhhhhhh
  *Image* ...
  0·11· #Mathematics#Co-ordinate Geometry
  favorited2012-06-04 07:08:40
• Another limit
  Find the following limit for \alpha >1 : \lim_{n\to \infty} n\left(\dfrac{1^\alpha + 2^\alpha + \ldots + n^\alpha}{n^{\alpha+1}}-\dfrac{1}{\alpha +1}\right) Here n is a natural number. ...
  0·20· #Mathematics#Calculus
  favorited2012-06-04 07:08:40