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
The tangents at the points (at21, 2at1), (at22, 2at2) on the parabola y2 = 4ax are at right angles if
t1t2 = -1
t1t2 =1
t1t2 = 2
t1t2 = -2
The eccentricity of the parabola y2 = -8x is
-2
2
-1
1
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 = 8 x
y2 = -8 x
y2 = 4 x
y2 = -4 x
The vertex of the parabola y2 + 6x - 2y + 13 = 0 is
(1, -1)
(-2, 1)
(3/2, 1)
(-7/2 ,1)
The line y = 2 x + c is a tangent to the parabola y2 = 16 x if c equals
0
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
The point on the parabola y2 = 8x whose distance from the focus is 8, has x co-ordinate as
4
6
If (at2, 2at) are the co-ordiantes 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)
