Let A and B are two fixed points in a plane, then locus of another point Con the same plane such that CA + CB = constant, (> AB) is
circle
ellipse
parabola
hyperbola
The length of the parabola y2 = 12x cut off by the latusrectum is
A.
Given equation of parabola is
y2 = 12x ...(i)
and equation of latusrectum is
x = 3 ...(ii)
From Eqs. (i) and (ii), we get
y2 = 36
Coordinates of end points of a latusrectum are (3, 6) and (3, - 6).
If the normal at (ap, 2ap) on the parabola y2 = 4ax, meets the parabola again at (aq2 , 2aq), then
p2 + pq + 2 = 0
p2 - pq + 2 = 0
q2 + pq + 2 = 0
p2 + pq + 1
The curve described parametrically by x = t2 + 2t - 1, y = 3t + 5 represents :
an ellipse
a hyperbola
a parabola
a circle