B

9000149410

Level: 
B
Find all lines passing through the point \(A = [-2;-6]\) such that the distance from the point \([0.0]\) to these lines is \(2\sqrt{2}\).
\(p_{1}\colon 7x + y + 20 = 0\), \(p_{2}\colon x - y - 4 = 0\)
\(p\colon 7x - y = 0\)
\(p\colon x + y + 2\sqrt{2} = 0\)
\(p_{1}\colon x - y + 2\sqrt{2} = 0\), \(p_{2}\colon x + y - 2\sqrt{2} = 0\)

9000149305

Level: 
B
Given a translation \(T\) of a plane, find the lines which are mapped to the same line by \(T\).
All lines parallel to the translation vector are mapped into itself.
All lines perpendicular to the translation vector are mapped into itself.
There are no lines which are mapped into itself by the translation.
Every line is mapped into itself by the translation.

9000149409

Level: 
B
Find all lines which are parallel to \(p\colon x - 3y + 2 = 0\) and the distance from every of these lines to \(p\) is \(\sqrt{10}\).
\(p_{1}\colon x - 3y + 12 = 0\), \(p_{2}\colon x - 3y - 8 = 0\)
\(p\colon x - 3y = 0\)
\(p\colon x - 3y + \sqrt{10} = 0\)
\(p_{1}\colon x - 3y + \sqrt{10} = 0\), \(p_{2}\colon x - 3y -\sqrt{10} = 0\)