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Worksheets

Krug

Total questions: 5

Worksheet time: 5mins

Name
Class
Date
1.

Za skup točaka prikazan u koordinatnom sustavu na slici vrijedi:

a)

(x3)2+(y+1)2=3\left(x-3\right)^2+\left(y+1\right)^2=3

b)

(x3)2+(y+1)29\left(x-3\right)^2+\left(y+1\right)^2\le9

c)

(x3)2+(y+1)2<3\left(x-3\right)^2+\left(y+1\right)^2<3

d)

(x+3)2+(y+1)2>9\left(x+3\right)^2+\left(y+1\right)^2>9

2.

 x2+(y5)2>1x^2+\left(y-5\right)^2>1 je skup svih točaka

a)

otvorenog kruga

b)

kružnice

c)

zatvorenog kruga

d)

vanjštine kruga bez kružnice

3.

Nadopuni:

Točka  A(3,2)A\left(-3,-2\right)   (a)   element skupa  x2+y25x^2+y^2\le5   .

4.

Koliko od točaka A(1,1), B(0.3), C(2,5) A\left(1,1\right),\ B\left(0.-3\right),\ C\left(-2,5\right)\   pripada skupu  x2+y2>9x^2+y^2>9  ?


a)

0

b)

1

c)

2

d)

3

5.

Za skup točaka prikazan u koordinatnom sustavu na slici vrijedi:

a)

(x+2)2+(y+1)2=4\left(x+2\right)^2+\left(y+1\right)^2=4

b)

(x+2)2+(y+1)216\left(x+2\right)^2+\left(y+1\right)^2\le16

c)

(x+2)2+(y+1)24\left(x+2\right)^2+\left(y+1\right)^2\ge4

d)

(x+2)2+(y+1)2>16\left(x+2\right)^2+\left(y+1\right)^2>16