Conic Section 2

    Last Updated :
    Discuss
    Comments

    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 = 8y

    • 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 (h, k) 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.

    Take a part in the ongoing discussion