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
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 point on the parabola y2 = 8 x whose distance from the focus is 8, has x co-ordinate as
0
2
4
6
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 vertex of the parabola y2 + 6x - 2y + 13 = 0 is
(1 , -1)
(-2 , 1)
(3/2, 1)
(-7/2, 1)
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 equation x = at2, y = 2 at: t ∈ R represent.
A circle
An ellipse
A hyperbola
A parabola
The equation of the directrix of the parabola x2 = -4ay is.
x + a = 0
x - a = 0
y + a = 0
y - a = 0
The focus of the parabola (y - 2)2 = 20(x + 3) is
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
