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Conic Section 2
Question 1
Which of the following is the standard form equation of a vertical parabola?
y = ax2 + bx + c
x = ay2 + by + c
y = a(x - h)2 + k
x = a(y - k)2 + h
Question 2
What is the standard form equation of a parabola with a focus at (0, 2) and a directrix y = -2?
y = 2x2
y = x2 + 4
x2 = 2y
y = x2 - 4
Question 3
What are the coordinates of the vertex of the parabola represented by the equation y = x2 + 4x + 3?
(-2, 1)
(-2, -1)
(-4, -2)
(-4, 2)
Question 4
What is the vertex form equation of a parabola with a vertex at (3, 4) and a horizontal axis of symmetry?
y = a(x - h)2 + k
x = a(y - k)2 + h
y = ax2 + bx + c
x = ay2 + by + c
Question 5
The locus of a point which moves in a plane such that its distance from a fixed point in the plane is always equal to its distance from a fixed straight line in the same plane represents
a circle
a parabola
a hyperbola
an ellipse
Question 6
If the parabola [Tex]x^2=4[/Tex] ay passes through the point [Tex](2,1)[/Tex], then the length of the latus rectum is
1
4
2
8
Question 7
The equation of parabola whose focus is [Tex](6,0)[/Tex] and directrix is [Tex]x=-6[/Tex] is
[Tex]y^2=24 x[/Tex]
[Tex]y^2=-24 x[/Tex]
[Tex]x^2=24 y[/Tex]
[Tex]x^2=-24 y[/Tex]
Question 8
The equation y2 = 4ax represents a parabola. What is the shape of the conic section formed when a < 0?
Parabola opening left
Parabola opening right
Circle
Ellipse
Question 9
What is the equation of the circle at ( 3, -4) and radius 5?
(x - 3)2 + ( y + 4)2 = 5
(x - 3)2 + ( y + 4)2 = 25
(x + 3)2 + ( y - 4)2 = 5
(x - 5)2 + ( y + 4)2 = 25
Question 10
What is the equation of a circle with center at (0,0) and radius 7?
x2 + y2 = 7
x2 + y2 = 49
(x - 0)2 + (y - 0) 2 = 72
(x + 0)2 + (y + 0) 2 = 7
There are 10 questions to complete.