Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online problems:

Problem of the week

The figure shows a quadrilateral bounded by two tangent lines to a parabola and their two normal lines. The parabola is described by the equation

$\displaystyle y=1-x^2 \,.


Determine the points $ P$ and $ Q$ as well as the area $ A$ of the shaded region.


$ P = \Big($ , $ \Big)$
$ Q = \Big($ , $ \Big)$
$ A = $

(The results should be correct to four decimal places.)


[solution to the problem of the previous week]