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Billiard ball problem can be seen as one elegant mathematical problem. In this article, we will analyse it mathematically. Before we begin, let us first see the problem. Given below is the situation. Can you predict, in which pocket will the ball falls in? Let us now connect this problem with mathematical conditioning. We all know reflection property very well. Now what you have thought is that whenever ball strikes any mirror then it enters into a rectangle which is just a mirror image of it. Now just keep on constructing rectangles with taking common sides CD and BC (initially) then their reflections too. Remember one thing that the ball will keep on moving in its direction until it reaches one of the vertices of our apparent rectangles. and hence it is obvious that the no. of such apparent rectangles that you will need in the horizontal direction will be 67 and in the vertical direction is 100 (smallest possible). being 67 odd hence, it is obvious that it will fall eit...

 Well, the asymptotes are fundamentally virtual tangents. So to know everything about an asymptote, we must know what are tangents. Lines that touch the given curve at a point are its tangent. See the diagram below. The line drawn touches the given circle so is a tangent to the circle. Let us now talk about asymptote, the virtual tangent. The tangent that principally exists but practically does not is asymptotes to the curve. See the diagram below. Blue horizontal dotted lines are asymptotes. Let's now see an applet to visualize the exact meaning of an asymptote.  OPEN THIS APPLET

  Are you facing challenges in managing your time properly? If you often waste time on unproductive tasks and finally at the end of the day feel you have wasted your day. Pomodoro Technique may be a good solution to all your problems.  Today I am going to discuss here, a very useful technique to improve your productivity and better time management.  The credit for this technique goes to  Francesco Cirillo. He  utilized a tomato-shaped  sandglass  to manage his time effectively. He called it the  Pomodoro technique (which is an Italian word for “tomato”). The idea behind the Pomodoro Technique is  to break down all of your tasks into 25-minute time blocks. Between  two session , keep   a five-minute break. And after completing four Pomodoros sessions  taking an extended  break usually 15-20 min. There are six steps in the original technique:   Decide on the task to be done.   Set the Pomodoro timer (traditio...

  This article will give you a fair idea of the Indian Institute of Information technology, Allahabad.  Indian Institute of Information Technology, Allahabad is a public university established by MHRD in the year 2000 located in Allahabad, Uttar Pradesh. It is one of the nineteen Indian Institutes of Information Technology listed by the Ministry of Human Resource Development.    Admission in the institute is based on rank in JEE Mains, here is list of cut off of opening and closing rank of year 2020 (5th-6th round)                     4-Year B.E./B.Tech. Course    Electronics and Communication Engineering - Gender Neutral 2152 7738         Electronics and Communication Engineering - Female Only 9917 13547 Information Technology - Gender Neutral 374 4278 Information Technology - Female Only 3476 9499 Information Technology-Business Informatics - Gender Neutral 3097 4651 Information Te...