Conics
1103040110
Level:
B
The picture shows a hyperbola drawn in the rectangular coordinate system. What is the major axis of this hyperbola?
The \( y \)-axis
The segment \( AB \)
The segment \( EF \)
The \( x \)-axis
1103040109
Level:
B
The picture shows a hyperbola drawn in the rectangular coordinate system. What is the minor axis of this hyperbola?
The \( y \)-axis
The segment \( EF \)
The \( x \)-axis
The segment \( AB \)
1103040108
Level:
B
A parabola in the rectangular coordinate system is shown in the picture. What is the vertex form equation of this parabola?
\( x^2 = 4(y-1) \)
\( x^2 = 4(y+1) \)
\( y^2 = 4(x-1) \)
\( y^2 = 4(x+1) \)
1103040107
Level:
A
The picture below shows an ellipse drawn in the rectangular coordinate system. What is the semi-minor axis of this ellipse?
The segment \( SM \)
The segment \( SL \)
The line \( MN \)
The line \( EF \)
1103040106
Level:
A
A circle in the rectangular coordinate system is shown in the picture. What is the standard form equation of this circle?
\( x^2+(y-3)^2=4 \)
\( x^2+(y+3)^2=4 \)
\( x^2+(y-3)^2=2 \)
\( x^2+(y+3)^2=2 \)
1103040105
Level:
B
A parabola is given by the picture. What is the parameter of this parabola?
The distance of the point \( F \) from the line \( d \)
The distance of points \( V \) and \( F \)
A half of the segment \( DV \)
Two times the distance of the point \( F \) from the line \( d \)
1103040104
Level:
B
The picture shows a hyperbola drawn in the rectangular coordinate system. What is the eccentricity of this hyperbola?
The distance of points \( S \) and \( F \)
The distance of points \( S \) and \( A \)
The distance of points \( A \) and \( B \)
The distance of points \( E \) and \( F \)
1103040103
Level:
A
The diagram of an ellipse in the rectangular coordinate system is shown in the picture.What is the semi-major axis of this ellipse?
The segment \( SN \)
The segment \( SK \)
The line \( EF \)
The line \( KL \)
1103040102
Level:
A
The diagram of an ellipse in the rectangular coordinate system is shown in the picture. Find the standard form equation of this ellipse:
\( \frac{(x-3)^2}4+\frac{(y-3)^2}9=1 \)
\( \frac{(x-3)^2}9+\frac{(y-3)^2}4=1 \)
\( \frac{(x+3)^2}4+\frac{(y+3)^2}9=1 \)
\( \frac{(x+3)^2}9+\frac{(y+3)^2}4=1 \)