9000168705
Level:
A
Given the ellipse \(16x^{2} + 9y^{2} + 32x - 36y - 92 = 0\),
find the vertex on the major axis.
\([-1,-2]\)
\([-1,-1]\)
\([3,2]\)
\([2,2]\)
Conic Sections
9000168706
Level:
B
Which of the given points is one of the vertices of the hyperbola \(16x^{2} - 9y^{2} + 64x + 18y - 89 = 0\)?
\([-5,1]\)
\([-6,1]\)
\([-2,4]\)
\([-2,5]\)
9000168707
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 4y^{2} - 54x - 16y + 29 = 0\).
\([5,-2]\)
\([6,-2]\)
\([3,-4]\)
\([3,-5]\)
9000168708
Level:
B
Find the vertex of the hyperbola \(4x^{2} - 9y^{2} + 24x + 18y + 63 = 0\).
\([-3,3]\)
\([-3,4]\)
\([-6,1]\)
\([-5,1]\)
9000168709
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 16y^{2} - 36x - 96y + 36 = 0\).
\([2,-6]\)
\([2,-7]\)
\([5,-3]\)
\([6,-3]\)
9000168710
Level:
B
Find the vertex of the hyperbola \(9x^{2} - 25y^{2} + 18x + 100y - 316 = 0\).
\([4,2]\)
\([2,2]\)
\([-1,-3]\)
\([-1,-1]\)
9000149710
Level:
B
Find the vertex of the following parabola.
\[
x^{2} - 6x - 12y - 3 = 0
\]
\([3,-1]\)
\([3,1]\)
\([-3,1]\)
\([-3,-1]\)
9000149701
Level:
A
Find the center of the following circle.
\[
x^{2} + y^{2} - 4x + 6y - 12 = 0
\]
\([2,-3]\)
\([-2,3]\)
\([2,3]\)
\([-2,-3]\)
9000149702
Level:
A
Find the center of the following circle.
\[
x^{2} + y^{2} + 2x - 8y + 13 = 0
\]
\([-1,4]\)
\([-1,-4]\)
\([1,4]\)
\([1,-4]\)
9000149703
Level:
A
Find the center of the following circle.
\[
x^{2} + y^{2} - 10x - 2y + 10 = 0
\]
\([5,1]\)
\([5,-1]\)
\([-5,1]\)
\([-5,-1]\)