
Β.Λ_ΕΞΙΣΩΣΗ ΚΥΚΛΟΥ
Authored by giannis xantzis
Mathematics
11th Grade
Used 3+ times

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20 questions
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1.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Ποια από τις παρακάτω είναι η εξίσωση ενός κύκλου,
με κέντρο το σημείο Κ(xo , yo) και ακτίνα ρ;
(x + xo)2 + (y + yo)2 = ρ
(x - xo)2 + (y - yo)2 = ρ2
2.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Ποια από τις παρακάτω είναι η εξίσωση ενός κύκλου,
με κέντρο το σημείο Κ(2 , -3) και ακτίνα 1;
(x - 2)2 + (y - 3)2 = 1
(x - 2)2 + (y + 3)2 = 1
(x + 2)2 + (y - 3)2 = 1
3.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Ποια από τις παρακάτω εξισώσεις δεν παριστάνει κύκλο ;
(x - 1)2 + y2 = 1
x + y = 1
x2 + y2 = 1
Answer explanation
Η εξίσωση x + y = 1 παριστάνει ευθεία.
4.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Ο διπλανός κύκλος έχει εξίσωση . . .
(x + 3)2 + (y - 3)2 = 9
(x - 3)2 + (y + 3)2 = 3
(x + 3)2 + (y + 3)2 = 9
5.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Ο διπλανός κύκλος έχει εξίσωση . . .
(x + 2)2 + (y - 2)2 = 4
x2 + y2 = 2
x2 + y2 = 4
6.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Ν Α Ι
Ο Χ Ι
Answer explanation
Για να είναι κύκλος , πρέπει
Α2 + Β2 - 4Γ > 0.
7.
MULTIPLE CHOICE QUESTION
0 sec • 1 pt
Είναι αλήθεια ότι η εξίσωση
x2 + y2 + x + y + 1 = 0
παριστάνει κύκλο ;
Ν Α Ι
Ο Χ Ι
Answer explanation
Για να ήταν κύκλος , θα 'πρεπε να ισχύει
Α2 + Β2 - 4Γ > 0
12 + 12 - 4 . 1 > 0
1 + 1 - 4 > 0
- 2 > 0, που δεν ισχύει.
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