The image contains four geometric statements in Russian, and you're asked to choose all correct ones. Here’s a translation of each statement:

1. If a line $l_1$ lying in plane $\pi_1$ is parallel to line $l_2$ lying in plane $\pi_2$, then $\pi_1 \parallel \pi_2$.

2. Two skew lines do not belong to the same plane.

3. Let two skew lines be given, then there exists a plane in which they are parallel, and there is only one such plane.

4. Through two intersecting lines, it is always possible to draw a plane, and only one plane.

Analysis:

1. Statement 1: False. Even if lines $l_1$ and $l_2$ are parallel, it does not necessarily mean that the planes $\pi_1$ and $\pi_2$ are parallel. They could intersect while still having the lines parallel in different planes.

2. Statement 2: True. Skew lines are defined as non-parallel lines that do not intersect and do not lie in the same plane.

3. Statement 3: False. Skew lines, by definition, cannot be parallel within a plane, because they do not lie in the same plane at all.

4. Statement 4: True. Two intersecting lines determine a unique plane, meaning only one plane can contain both lines.

Correct answers:

• Statement 2 (Two skew lines do not belong to the same plane).
• Statement 4 (Through two intersecting lines, it is always possible to draw a plane, and only one plane).

Would you like further details on these concepts?

Here are five related questions:

1. What is the difference between skew lines and parallel lines?
2. Can two parallel planes intersect at some point?
3. How do you determine the equation of a plane containing two intersecting lines?
4. What conditions must be met for two lines to lie in the same plane?
5. Can more than one plane pass through two non-parallel lines?

Tip: Always visualize skew lines as non-intersecting and non-parallel lines that exist in different planes.