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Kružnica

Authored by Katarina Štambuk

Mathematics

11th Grade

Used 2+ times

Kružnica
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11 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Koja od zadanih kružnica ima središte u ishodištu?

x2+y2−6x+4y−12=0x^2+y^2-6x+4y-12=0

x2+y2+2x−12y−28=0x^2+y^2+2x-12y-28=0

x2+y2−49=0x^2+y^2-49=0

(x−2)2+y2−25=0\left(x-2\right)^2+y^2-25=0

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Koja od zadanih kružnica dodiruje x-os?

(x+5)2+(y−3)2=64\left(x+5\right)^2+\left(y-3\right)^2=64

(x+5)2+(y−3)2=9\left(x+5\right)^2+\left(y-3\right)^2=9

(x−2)2+(y−6)2=4\left(x-2\right)^2+\left(y-6\right)^2=4

(x−1)2+(y+3)2=7\left(x-1\right)^2+\left(y+3\right)^2=7

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Kako glasi jednadžba kružnice kojoj je središte u točki S(−4,7)S\left(-4,7\right) i koja prolazi točkom A(2,8)A\left(2,8\right) ?

(x+4)2+(y−7)2=37\left(x+4\right)^2+\left(y-7\right)^2=37

(x+4)2+(y−7)2=25\left(x+4\right)^2+\left(y-7\right)^2=25

(x−7)2+(y+4)2=49\left(x-7\right)^2+\left(y+4\right)^2=49

(x−7)2+(y+4)2=37\left(x-7\right)^2+\left(y+4\right)^2=37

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Kako glasi jednadžba kružnice opisane pravokutnom trokutu ABC ako je A(2,5)A\left(2,5\right) , B(4,1)B\left(4,1\right) , C(8,3)C\left(8,3\right) ?

(x−3)2+(y−4)2=8\left(x-3\right)^2+\left(y-4\right)^2=8

(x−5)2+(y−4)2=8\left(x-5\right)^2+\left(y-4\right)^2=8

(x−5)2+(y−4)2=10\left(x-5\right)^2+\left(y-4\right)^2=10

(x−1)2+(y−3)2=10\left(x-1\right)^2+\left(y-3\right)^2=10

5.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Koja od zadanih jednadžbi je jednadžba kružnice kojoj je polumjer 5 i koja dira obje koordinatne osi?

(x−5)2+(y−5)2=25\left(x-5\right)^2+\left(y-5\right)^2=25

(x−5)2+(y−4)2=25\left(x-5\right)^2+\left(y-4\right)^2=25

(x+5)2+(y+5)2=5\left(x+5\right)^2+\left(y+5\right)^2=5

(x+5)2+(y−5)2=25\left(x+5\right)^2+\left(y-5\right)^2=25

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Kako glasi jednadžba kružnice koja dira x-os u točki D(4,0)D\left(4,0\right) i prolazi točkom T(8,8)T\left(8,8\right) ?

(x−5)2+(y−4)2=25\left(x-5\right)^2+\left(y-4\right)^2=25

(x−3)2+(y−4)2=10\left(x-3\right)^2+\left(y-4\right)^2=10

(x−2)2+(y−5)2=10\left(x-2\right)^2+\left(y-5\right)^2=10

(x−4)2+(y−5)2=25\left(x-4\right)^2+\left(y-5\right)^2=25

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Jednadžba kružnice koja prolazi točkama A(−1,2)A\left(-1,2\right) , B(3,6)B\left(3,6\right) i kojoj je središte na y-osi je x2+(y−5)2=10x^2+\left(y-5\right)^2=10 .

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