The vertex of the parabola y2 = 4 ( x + 1) is
(0 , 1)
(0 , -1)
(1, 0)
(-1, 0)
The eccentricity 'e' of a parabola is
<1
>1
= 1
0
If (at2, -2at) are the co-ordinates of one end of a focal chord of the parabola y2 = 4ax, then the co-ordinates of the other end are
(at2, -2at)
(-at2, -2at)
(a/t2, 2a/t)
(a/t2 , -2a/t)
The tangents at the points (at12 , 2at1), (at22, 2at2) on the parabola y2 = 4ax are at right angles if
t1t2 = -1
t1t2 = 1
t1t2 = 2
t1t2 = -2
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 locus of the points which is equidistant from (-a, 0) and x = a is
y2 = 4ax
y2 = -4ax
x2 + 4ay = 0
x2 - 4ay = 0
The latus rectum of the parabola x2 - 4x - 2y - 8 = 0 is.
8
4
2
1
The equation x = at2, y = 2 at: t ∈ R represent.
A circle
An ellipse
A hyperbola
A parabola
The point on the parabola y2 = 8 x whose distance from the focus is 8, has x co-ordinate as
6
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
-4/3
-7/4
