Exercises for Homework 2
Date: 2015-10-07; view: 426.
2.11. Compose an equation of the line passing through the point 
and is parallel to the following line: a) 
b) 
.
2.12. Compose an equation of the line passing through two points: a) 
and 
;
b) 
and 
.
2.13. Determine whether the following lines are intersected, parallel or coincide; if lines are intersected, find the coordinates of the point of their intersection:
a) 
and 
; b) 
and 
.
2.14. For which 
three lines 
have a common point?
2.15. Two vertices of a triangle 
and 
, and the point of intersection of its medians 
are given. Find the coordinates of the third vertex of the triangle and compose equations of its sides.
2.16. Compose an equation of the line passing through the point and is perpendicular to the following line: a) 
b) 
c) 
.
2.17. Find the distance from the point 
to the line given by its equation:
a) 
; b) 
; c) 
.
2.18. A point 
is on line 
, and the point is equidistant from the point 
and from line 
. Find the coordinates of .
2.19. Find an angle between lines: a) 
and 
; b) 
and 
.
| <== previous lecture | | | next lecture ==> |
| Exercises for Seminar 2 (Line on plane) | | | Exercises for Seminar 3 (plane in the space) |