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
The line y = 2 x + c is a tangent to the parabola y2 = 16 x if c equals
-2
-1
0
2
The vertex of the parabola y2 = 4 ( x + 1)
(0, 1)
(0 , -1)
(1, 0)
(-1, 0)
The locus of the points which are equidistance from (-a , 0) and x = a is
y2 = 4ax
y2 = -4ax
x2 + 4ay = 0
x2 - 4ay = 0
Find the equation of the parabola with focus (2, 0) and directrix x = -2
y2 = 16x
y2 = 8x
y2 = 12x
None of these
The equation of the directrix of the parabola x2 = -4ay is.
x + a = 0
x - a = 0
y + a = 0
y - a = 0
The vertex of the parabola y2 = 4a (x - a) is
(a, 0)
(0, a)
(0, 0)
The equation of the parabola with directrix x = 2 and the axis y = 0 is
y2 = 8 x
y2 = -8 x
y2 = 4 x
y2 = -4 x
The latus rectum of the parabola x2 - 4x - 2y - 8 = 0 is.
8
4
1
