Dan Brown anybody:
The illumainati believed in duality of nature, and the were very sure that the ellipse, and not the circle was the best representative of symmetry of nature.

This may be why:

Consider the given table: a ball is fired from one of the foci with a velocity of 5m/s, at an angle 30* with the major axis of the elliptical table.

The question:
When does it again return to the same point as which it was fired from, for the very first time??? (does it ever).

Assume the major axis of the ellipse to be 10 meters, and its eccentricity is .8.
Assume all collisions to be completely elastic.

10 comments:

  1. no one else interested in a shot???

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  2. seems correct 2 me..ye bhi galat hai kya..?
    2(2a)/v

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  3. sry bhaiya....many of us have not done conic even once

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  4. nahi yaar Digv, tera ans thik tha..

    chalo, conic nahi kiya, then thik hai..

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  5. chalo ek mein +3 doosre mein -4 ...hmm
    btw the qstn smhw reminds me of fermats light theorem..

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  6. PLEASE SIR MAKE IT CLEAR THAT IT IS ELLIPSED AREA OR IT IS ELLIPSED TABLE BECAUSE IF AREA IS NOT BOUNDED THE BALL WILL NOT COME BACK

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  7. here's the solution:

    the normal drawn at any pt. on the ellipse bisects the angle b/w the segments joining that vpt. to the two foci...

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  8. yaar, it is a billiards-like table, except that it is elliptical and with no holes.

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