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)
The line y = 2 x + c is a tangent to the parabola y2 = 16 x if c equals
-2
-1
0
2
The equation x = at2, y = 2 at: t∈ R represent
A circle
An ellipse
A hyperbola
A parabola
Find the equation of the parabola with focus (2, 0) and directrix x = -2
y2 = 16x
y2 = 8x
y2 = 12x
None of these
The vertex of the parabola y2 = 4 ( x + 1)
(0, 1)
(0 , -1)
(1, 0)
(-1, 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
-4/3
-5/4
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 equation of the parabola with focus at (0, 3) and the directrix y + 3 = 0 is.
y2 = 12 x
y2 = -12 x
x2 = 12 y
x2 = -12 y
The point on the parabola y2 = 8x whose distance from the focus is 8, has x co-ordinate as
4
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
-7/4