Задачи по аналитической геометрии. Микенберг М.А. - 68 стр.

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22x + 33y 35 = 0 5x y + 3 = 0 17x + 34y 38 = 0
x y = 3 = 0 (BC) 4x + 5y 20 = 0 (AC)
3x 12y 1 = 0 (CH)
(10; 21)
(2; 4)
x + 7y 6 = 0 x y 6 = 0 7x + y 10 = 0
¡
x
8
3
¢
2
+ y
2
=
85
9
(x 3)
2
+ (y 5)
2
= 25
(x 3)
2
+ (y 4)
2
= 25
OX (8; 0) (0; 0) OY (0; 6) (0; 0)
OX (3; 0) OY (0; 9) (0; 1)
x
2
+ (y 2)
2
= 4
(x 2)
2
+ (y + 3)
2
= 4 (x + 2)
2
+ (y + 3)
2
= 4
(x 17)
2
+ (y 17)
2
= 17
2
(x 5)
2
+ (y 5)
2
= 25
(x 6)
2
+ (y 7)
2
= 36
(3; 1) (2; 2) (4; 6)
4x 2y 9 = 0
x 2y 5 = 0
y 7x = 0 x y = 0 4x 3y 25 = 0 3x + 4y 25 = 0
2x y± = 0
(x 3, 5)
2
+ (y 3, 5)
2
= 12, 5
¡
x
13
18
¢
2
+
¡
y
13
18
¢
2
=
25
162
(5; 6)
5x + 2y 7 = 0
x + y 4 = 0
π
2
y 2 = 0 4x 3y 10 = 0 x 1 = 0 3x + 4y 5 = 0
3
2x + 7y + 8 = 0 4x + 4y + 5 = 0
(±5; ±2)
x
2
15
+
y
2
5
= 1
4
1
3
(3; 3)
¡
69
13
,
21
13
¢
2b
2
a
2ab
a
2
+b
2
4x + 9y 13 = 0
x
2
16
y
2
9
= 1
x
2
36
y
2
9
= 1