9000091207
Level:
A
Consider the circle \(k\colon x^{2} - 6x + y^{2} + 2y + 6 = 0\).
Find the center of the circle.
\(S = [3;-1]\)
\(S = [-3;-1]\)
\(S = [3;1]\)
\(S = [-3;1]\)
A
9000091208
Level:
A
Consider the circle \(k\colon x^{2} + 2x + y^{2} - 4y + 2 = 0\).
Find the center of the circle.
\(S = [-1;2]\)
\(S = [-1;-2]\)
\(S = [1;-2]\)
\(S = [1;2]\)
9000091209
Level:
A
Consider the circle \(k\colon x^{2} - 6x + y^{2} + 4y + 9 = 0\).
Find the center of the circle.
\(S = [3;-2]\)
\(S = [-3;-2]\)
\(S = [3;2]\)
\(S = [-3;2]\)
9000091210
Level:
A
Consider the circle \(k\colon x^{2} + 8x + y^{2} - 2y + 12 = 0\).
Find the center of the circle.
\(S = [-4;1]\)
\(S = [-4;-1]\)
\(S = [4;1]\)
\(S = [4;-1]\)
9000091203
Level:
A
Consider the circle \(x^{2} - 2x + y^{2} - 6y + 8 = 0\).
Find the radius of the circle.
\(\sqrt{2}\)
\(2\)
\(3\)
\(4\)
9000085609
Level:
A
Given the number \(45\: 875\),
round this number to nearest thousands, nearest hundreds and subtract the results.
\(100\)
\(200\)
\(1\: 000\)
\(0\)
9000085603
Level:
A
Find the sum of the three numbers obtained by rounding the number
\(5\: 316\) to the
nearest tens, hundreds and thousands.
\(15\: 620\)
\(15\: 610\)
\(15\: 560\)
\(15\: 580\)
9000085610
Level:
A
Given the number \(82\: 361\),
round this number to nearest thousands, nearest hundreds and subtract the results.
\(400\)
\(300\)
\(200\)
\(100\)
9000086709
Level:
A
Identify the equation which arises from the following equation using an optimal
substitution.
\[
6\cos ^{2}x +\sin x - 5 = 0
\]
\(6t^{2} - t = 1\)
\(6t^{2} + t - 5 = 0\)
\(6t = 5\)
Equation is not convenient for a substitution.
9000086603
Level:
A
Determine the truth values of propositions \(a\) and \(b\) if you know that the compound proposition
\[
\neg a \wedge b
\]
is true.
The statement \(a\)
is false, \(b\)
is true.
Both statements are true.
The statement \(a\)
is true, \(b\)
is false.
Both statements are false.