9000168703
Level:
A
Given the ellipse \(25x^{2} + 9y^{2} - 150x + 18y + 9 = 0\),
find the vertex on the major axis.
\([3;4]\)
\([3;2]\)
\([8;-1]\)
\([6;-1]\)
Conic Sections
9000168704
Level:
A
Given the ellipse \(9x^{2} + 4y^{2} + 36x - 24y + 36 = 0\),
find the vertex on the minor axis.
\([-4;3]\)
\([-5;3]\)
\([-2;0]\)
\([-2;1]\)
9000168705
Level:
A
Given the ellipse \(16x^{2} + 9y^{2} + 32x - 36y - 92 = 0\),
find the vertex on the major axis.
\([-1;-2]\)
\([-1;-1]\)
\([3;2]\)
\([2;2]\)
9000168707
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 4y^{2} - 54x - 16y + 29 = 0\).
\([5;-2]\)
\([6;-2]\)
\([3;-4]\)
\([3;-5]\)
9000168701
Level:
A
Which of the given points is one of the vertices on the major axis of the ellipse \(9x^{2} + 16y^{2} - 18x + 96y + 9 = 0\)?
\([5;-3]\)
\([4;-3]\)
\([1;1]\)
\([1;0]\)
9000168706
Level:
B
Which of the given points is one of the vertices of the hyperbola \(16x^{2} - 9y^{2} + 64x + 18y - 89 = 0\)?
\([-5;1]\)
\([-6;1]\)
\([-2;4]\)
\([-2;5]\)
9000149705
Level:
A
Find the center of the following ellipse.
\[
16x^{2} + 9y^{2} - 32x - 54y - 47 = 0
\]
\([1;3]\)
\([1;-3]\)
\([-1;3]\)
\([-1;-3]\)
9000149706
Level:
B
Find the center of the following hyperbola.
\[
4x^{2} - 3y^{2} + 8x - 30y - 49 = 0
\]
\([-1;-5]\)
\([-1;5]\)
\([1;-5]\)
\([1;5]\)
9000149707
Level:
B
Find the center of the following hyperbola.
\[
5x^{2} - 6y^{2} - 30x + 12y + 9 = 0
\]
\([3;1]\)
\([3;-1]\)
\([-3;1]\)
\([-3;-1]\)
9000149710
Level:
B
Find the vertex of the following parabola.
\[
x^{2} - 6x - 12y - 3 = 0
\]
\([3;-1]\)
\([3;1]\)
\([-3;1]\)
\([-3;-1]\)