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Disclaimer: Do not try this problem and then drive or operate heavy machinery.

Okay, you see that side PQ is the square root of 3 and the equation of the ellipse is given below it.

The rules are rather extreme:

You may not use any CAS, that means Mathematica, Maxima, Wolfram Alpha, Maple, Matlab, Mupad, Octave, Pari, Yacas, Fricas, Magma.

You may not use any programming language, that means C, C++, Wolfram, Haskell, Basic, Pascal, Cobol, Fortran, Python or any other.

You may not use any mathematics that means calculus, group theory, algebra, trigonometry, geometry (Euclidean or any other), probability, any math theorem.

You can only use the tools of EM or you can try the force.

Okay, now for the question:

If we move P and Q along the circumference of that ellipse what is the sum of the largest area and the smallest area for triangle POQ? Of course the length of PQ must always remain constant at

A says) 2.

B says) That is not correct.

C says) 6.022 x 10^23

D says) 0

E says) I know the answer.

**A says) An equilateral triangle with sides 1.**

**B says) Obviously it is a triangle with the longest side being equal to 1.**

**C says) What is a unit?**

**D says) It is a triangle with an area that equals 1.**

**E says) I have never heard of it.**

**What do you say?**

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Where did you get this problem?

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