The equation x = at2, y = 2 at: t ∈ R represent.
A circle
An ellipse
A hyperbola
A parabola
If the line 3x - 4y + 5 = 0 is a tangent to the parabola y2 = 4ax, then a is equal to
15/16
5/4
-4/3
-5/4
If the line 2x - 3y + 6 = 0 is a tangent to the parabola y2 = 4 ax, then a is equal to
4/3
3/4
-7/4
The equation of the parabola with focus at (0, 3) and the directrix y + 3 = 0 is
y2 = 12x
y2 = -12 x
x2 = 12 y
x2 = -12 y
The equation of the directrix of the parabola x2 = -4ay is.
x + a = 0
x - a = 0
y + a = 0
y - a = 0
The equation of the parabola with directrix x = 2 and the axis y = 0 is.
y2 = 8x
y2 = -8x
y2 = 4 x
y2 = -4 x
The vertex of the parabola y2 = 4 ( x + 1) is
(0 , 1)
(0 , -1)
(1, 0)
(-1, 0)
The vertex of the parabola y2 + 6x - 2y + 13 = 0 is
(1 , -1)
(-2 , 1)
(3/2, 1)
(-7/2, 1)
The parabola y2 = 4 ax passes through the point (2, -6) , then the length of its latus rectum is
18
9
6
16
A line touches the circle x2 + y2 = 2 a2 and also the parabola y2 = 8 ax.Its equation is.
y = ± x
y = ± ( x + c)
y = ± (x + 2a)
y = ± ( x - 2a)
