2100006703
Level:
A
Identify which of the given graphs is the graph of the function \(f(x)=\frac{2}{5x}\).
A
2100006702
Level:
A
Identify which of the given graphs is the graph of the function \(f(x)=\frac{-1}{3x}\).
2000006504
Level:
A
A plane and a point are given. The point is not lying in the plane. How many lines parallel to this plane pass through the given point?
infinitely many
\(0\)
\(2\)
\(1\)
2000006503
Level:
A
A plane and a point are given. The point is not lying in the plane. How many lines perpendicular to this plane pass through the given point?
\(1\)
\(2\)
\(0\)
infinitely many
2000006502
Level:
A
How many pairs of intersecting planes are created by sides of a cuboid?
\(12\)
\(9\)
\(6\)
\(3\)
2000006501
Level:
A
How many pairs of intersecting planes are created by sides of a cube?
\(12\)
\(6\)
\(9\)
\(3\)
2000006404
Level:
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \mathrm{cotg}\,{x} = 1\]
\[ x \in ( -\pi ,2\pi)\]
\[ \mathrm{cotg}\,{x} = 1\]
\[ x \in (0 ,2\pi )\]
\[ \mathrm{cotg}\,{x} = \frac{\sqrt{3}}{2} \]
\[ x \in ( -\pi ,2\pi)\]
\[ \mathrm{cotg}\,{x} = \frac{\sqrt{3}}{2} \]
\[ x \in ( 0 ,2\pi)\]
2000006403
Level:
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \mathrm{cotg}\,{x} = -\frac{\sqrt{3}}{3} \]
\[ x \in ( -\pi ,2\pi)\]
\[ \mathrm{cotg}\,{x} = -\frac{1}{2} \]
\[ x \in (-\pi ,2\pi )\]
\[ \mathrm{tg}\,{x} = -\frac{\sqrt{3}}{2} \]
\[ x \in ( -\pi ,2\pi)\]
\[ \mathrm{tg}\,{x} = -\frac{1}{2} \]
\[ x \in ( -\pi ,2\pi)\]
2000006402
Level:
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \mathrm{tg}\,{x} = {\sqrt{3}} \]
\[ x \in [ 0 ,2\pi]\]
\[ \mathrm{tg}\,{x} = {\sqrt{3}} \]
\[ x \in [ -\pi ,\pi]\]
\[ \mathrm{cotg}\,{x} = {\sqrt{3}} \]
\[ x \in [ 0 ,2\pi]\]
\[ \mathrm{cotg}\,{x} = {\sqrt{3}} \]
\[ x \in [ -\pi ,\pi]\]
2000006401
Level:
A
An equation is solved graphically as shown in the picture. The solution is marked in red. Choose the corresponding equation.
\[ \mathrm{tg}\,{x} = \frac{\sqrt{3}}{3} \]
\[ x \in ( -\pi ,\pi)\]
\[ \mathrm{tg}\,{x} = \frac{\sqrt{3}}{2} \]
\[ x \in (-\pi ,\pi )\]
\[ \mathrm{cotg}\,{x} = \frac{\sqrt{3}}{2} \]
\[ x \in ( -\pi ,\pi)\]
\[ \mathrm{cotg}\,{x} = \frac{\sqrt{3}}{3} \]
\[ x \in ( -\pi ,\pi)\]