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Byju's Answer
Standard X
Mathematics
Circumcentre
P(t1) and P(t...
Question
P(t1) and P(t2) are the points t1and t2 on the parabola }y^2=4ax . The normals at }P and }Q meet on } the parabola. Show that the middle point of }PQ lies on the }{ parabola }y^2=2a(x+2a) .
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Similar questions
Q.
The normals at three points P, Q and R of the parabola
y
2
=
4
a
x
meet at (h, k). The centroid of the
Δ
P
Q
R
lies on:
Q.
The normals at three points P, Q, R of the parabola
y
2
=
4
a
x
meet in (h, k). The centroid of triangle PQR lies on
Q.
The normal at three points
P
,
Q
,
R
of the parabola
y
2
=
4
a
x
meet in
(
h
,
k
)
. The centroid of
△
P
Q
R
lies on
Q.
If the normal at point
P
(
a
t
2
1
,
2
a
t
1
)
and
Q
(
a
t
2
2
,
2
a
t
2
)
on the parabola
y
2
=
4
a
x
meet on the parabola, the
t
1
t
2
=
2
.
Q.
If the normals at
A
(
t
1
)
and
B
(
t
2
)
meet again at
C
(
t
3
)
on the parabola
y
2
=
4
a
x
,
then the locus of the mid point of
A
B
is
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