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The distance between the centers of circles R1 and R2 is d. Prove that these circles are orthogonal only if d² = R1² + R2².
Isosceles trapezoids ABCD and A1B1C1D1 with respectively parallel sides are inscribed in a circle. Prove that AC = A1C1.
The incident light is polarized linearly with the azimuth of oscillations, which equals +45º. Can it be transformed into the light, polarized by the right circle, by single reflection?
Can we walk on the Saturn rings? Why?
What allows to detect Zeeman effect?
Can Venus be seen in the constellation of Big Dipper or in the constellation of Cepheus? If it is possible, explain why.
People who live at the ocean coast know that the tides are the highest during full moon and new moon. Why is it so?
A box with mass M slides down a ramp with friction coefficient u at a constant velocity. What is the acceleration of the box and the angle of the ramp?
How to create a Java program that gives off 10 alphabets (a-z) randomly? There must be at least 2 vowels too.
Prove that at affine transformation parallel lines transform into parallel lines.
