2010006007
Level:
A
Consider the circle \(x^{2} + y^{2} +4x+ 6y + 10 = 0\).
Find the radius of the circle.
\(\sqrt{3}\)
\(2\)
\(3\)
\(9\)
Conics
2010006301
Level:
A
The equation of an ellipse is given by \( 9x^2+5y^2+18x-30y+9=0 \). The length of its semi-minor axis is:
\( \sqrt5\)
\(5\)
\(9\)
\(3\)
\(2\)
9000091201
Level:
A
Consider the circle \(k\colon x^{2} - 4x + y^{2} + 6y + 12 = 0\).
Find the radius of the circle.
\(1\)
\(2\)
\(3\)
\(4\)
9000091202
Level:
A
Consider the circle \(k\colon x^{2} + 6x + y^{2} + 2y + 6 = 0\).
Find the radius of the circle.
\(2\)
\(\sqrt{2}\)
\(3\)
\(4\)
9000091203
Level:
A
Consider the circle \(x^{2} - 2x + y^{2} - 6y + 8 = 0\).
Find the radius of the circle.
\(\sqrt{2}\)
\(2\)
\(3\)
\(4\)
9000091204
Level:
A
Consider the circle \(k\colon x^{2} + 4x + y^{2} - 8y + 11 = 0\).
Find the radius of the circle.
\(3\)
\(1\)
\(2\)
\(4\)
9000091205
Level:
A
Consider the circle \(k\colon x^{2} - 10x + y^{2} + 10y + 34 = 0\).
Find the radius of the circle.
\(4\)
\(2\)
\(3\)
\(1\)
9000091206
Level:
A
Consider the circle \(k\colon x^{2} - 4x + y^{2} + 6y + 11 = 0\).
Find the center of the circle.
\(S = [2;-3]\)
\(S = [2;3]\)
\(S = [-2;3]\)
\(S = [-2;-3]\)
9000091207
Level:
A
Consider the circle \(k\colon x^{2} - 6x + y^{2} + 2y + 6 = 0\).
Find the center of the circle.
\(S = [3;-1]\)
\(S = [-3;-1]\)
\(S = [3;1]\)
\(S = [-3;1]\)
9000091208
Level:
A
Consider the circle \(k\colon x^{2} + 2x + y^{2} - 4y + 2 = 0\).
Find the center of the circle.
\(S = [-1;2]\)
\(S = [-1;-2]\)
\(S = [1;-2]\)
\(S = [1;2]\)