Question

UMU e locus of the middle point
of PO.
79. Show that the locus of a point that divides
chord of slope 2 of the parabola y 4x
internally in the ratio 1:2 i parabola. Find
the vertex of this parabola. IIT 1995
80. From a point A common fangents are drawn to
the circle x +y and the parabola
v2 = 4ax. Then find the area of the
quadrilateral formed by the common tangents
drawn from A and the chords of contact of the
circle and the parabola.
MIIT 1996
81. Points A, B, C lie on the parabola y' = 4ax.
The tangents to the parabola at A, B and C,
taken in pair, intersect at points P, and R.
Determine the ratio of the areas of the
AABCand APOR.
JIIT 1996)
82. The angle between a pair of tangents drawn
from a point P to the parabola y = 4ax is 45°
Show that the locus of the point P is a
hyperbola.
HIT 1998]
83. Let C, and C, be, the parabolas x=y-1 and
y = x-1 respectively. Let P be any point on
C, and Q be any point on C, Let P and Q, be
the reflections of P and Q, respectively w..t
the line y = x then prove that Plies on CQ,
lies on C, and PQ 2 min[PP,00,1. Hence or
otherwise, determine points P and Q, on the
parabolas C, and C, respectively such that
P,Q, SPQ for all pairs of points (PQ) with P
on C and Q on C,
JIIT 20001



if u find it you get 100 points​

Answer 1

Let the equation of parabola be y2 = 4ax and the middle point of intercepted portion be (h,k) Equation of normal at P(at2,2at) is y = - tx + 2at + at3 ...

I HOPE YOU ARE SATISFIED WITH THIS.

Answer 2

I don’t no give me ans