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Conic Section 2
Question 1
Which of the following is the standard form equation of a vertical parabola?
- A
y = ax2 + bx + c
- B
x = ay2 + by + c
- C
y = a(x - h)2 + k
- D
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?
- A
y = 2x2
- B
y = x2 + 4
- C
x2 = 8y
- D
y = x2 - 4
Question 3
What are the coordinates of the vertex of the parabola represented by the equation y = x2 + 4x + 3?
- A
(-2, 1)
- B
(-2, -1)
- C
(-4, -2)
- D
(-4, 2)
Question 4
What is the vertex form equation of a parabola with a vertex at (h, k) and a horizontal axis of symmetry?
- A
y = a(x - h)2 + k
- B
x = a(y - k)2 + h
- C
y = ax2 + bx + c
- D
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
a circle
- B
a parabola
- C
a hyperbola
- D
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
- A
1
- B
4
- C
2
- D
8
Question 7
The equation of parabola whose focus is [Tex](6,0)[/Tex] and directrix is [Tex]x=-6[/Tex] is
- A
[Tex]y^2=24 x[/Tex]
- B
[Tex]y^2=-24 x[/Tex]
- C
[Tex]x^2=24 y[/Tex]
- D
[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?
- A
Parabola opening left
- B
Parabola opening right
- C
Circle
- D
Ellipse
Question 9
What is the equation of the circle at ( 3, -4) and radius 5?
- A
(x - 3)2 + ( y + 4)2 = 5
- B
(x - 3)2 + ( y + 4)2 = 25
- C
(x + 3)2 + ( y - 4)2 = 5
- D
(x - 5)2 + ( y + 4)2 = 25
Question 10
What is the equation of a circle with center at (0,0) and radius 7?
- A
x2 + y2 = 7
- B
x2 + y2 = 49
- C
(x - 0)2 + (y - 0) 2 = 72
- D
(x + 0)2 + (y + 0) 2 = 7
There are 10 questions to complete.