The point on the parabola y2 = 8 x whose distance from the focus is 8, has x co-ordinate as
0
2
4
6
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 parabola y2 = 4 ax passes through the point (2, -6) , then the length of its latus rectum is
18
9
16
The latus rectum of the parabola x2 - 4x - 2y - 8 = 0 is.
8
1
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
If the line 3x - 4y + 5 = 0 is a tangent to the parabola y2 = 4ax, then a is equal to
15/16
5/4
-5/4
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 eccentricity of the parabola y2 = -8x is
-2
-1
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 = 4a (x - a) is
(a, 0)
(0, a)
(0, 0)
None of these
