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
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
A.
p2 + pq + 2 = 0
We know that the normal drawn at a point P(at12, 2at1) to the parabola y2 = 4ax meets again the parabola at Q(at22, 2at2), then
t2 = - t1 -
Here, t1 = p and t2 = q
The curve described parametrically by x = t2 + 2t - 1, y = 3t + 5 represents :
an ellipse
a hyperbola
a parabola
a circle