Conics

2010006007

Level:

Consider the circle

x^{2} + y^{2} + 4 x + 6 y + 10 = 0

. Find the radius of the circle.

\sqrt{3}

2

3

9

2010006301

Level:

The equation of an ellipse is given by

9 x^{2} + 5 y^{2} + 18 x - 30 y + 9 = 0

. The length of its semi-minor axis is:

\sqrt{5}

5

9

3

2

9000091201

Level:

Consider the circle

k : x^{2} - 4 x + y^{2} + 6 y + 12 = 0

. Find the radius of the circle.

1

2

3

4

9000091202

Level:

Consider the circle

k : x^{2} + 6 x + y^{2} + 2 y + 6 = 0

. Find the radius of the circle.

2

\sqrt{2}

3

4

9000091203

Level:

Consider the circle

x^{2} - 2 x + y^{2} - 6 y + 8 = 0

. Find the radius of the circle.

\sqrt{2}

2

3

4

9000091204

Level:

Consider the circle

k : x^{2} + 4 x + y^{2} - 8 y + 11 = 0

. Find the radius of the circle.

3

1

2

4

9000091205

Level:

Consider the circle

k : x^{2} - 10 x + y^{2} + 10 y + 34 = 0

. Find the radius of the circle.

4

2

3

1

9000091206

Level:

Consider the circle

k : x^{2} - 4 x + y^{2} + 6 y + 11 = 0

. Find the center of the circle.

S = [2; - 3]

S = [2; 3]

S = [- 2; 3]

S = [- 2; - 3]

9000091207

Level:

Consider the circle

k : x^{2} - 6 x + y^{2} + 2 y + 6 = 0

. Find the center of the circle.

S = [3; - 1]

S = [- 3; - 1]

S = [3; 1]

S = [- 3; 1]

9000091208

Level:

Consider the circle

k : x^{2} + 2 x + y^{2} - 4 y + 2 = 0

. Find the center of the circle.

S = [- 1; 2]

S = [- 1; - 2]

S = [1; - 2]

S = [1; 2]

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