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Standard XII
Mathematics
Question
Locus of mid-point of chords of the parabola
y
2
=
4
a
x
that passes through the point (3a , a) is
y
2
+
2
a
x
+
a
y
−
6
a
2
=
0
y
2
−
2
a
x
−
a
y
+
6
a
2
=
0
y
2
2
a
x
+
a
y
+
6
a
2
=
0
y
2
2
a
x
a
y
+
6
a
2
=
0
A
y
2
+
2
a
x
+
a
y
−
6
a
2
=
0
B
y
2
2
a
x
a
y
+
6
a
2
=
0
C
y
2
−
2
a
x
−
a
y
+
6
a
2
=
0
D
y
2
2
a
x
+
a
y
+
6
a
2
=
0
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11
Similar Questions
Q1
A variable chord is drawn through the origin to the circle
x
2
+
y
2
−
2
a
x
=
0
. Locus of the centre of the circle drawn on this chord as diameter is
View Solution
Q2
Prove that the locus of the middle points of all chords of the parabola
y
2
=
4
a
x
passing through the vertex is the parabola
y
2
=
2
a
x
.
View Solution
Q3
Locus of mid-point of chords of the parabola
y
2
=
4
a
x
that passes through the point (3a , a) is
View Solution
Q4
If
a
≠
0
and the line
2
b
x
+
3
c
y
+
4
d
=
0
passes through the point of intersection of parabolas
y
2
=
4
a
x
and
x
2
=
a
y
, then
View Solution
Q5
Prove that the locus of the middle points of all chords of the parabola
y
2
=
4
a
x
which are drawn through the vertex is the
parabola
y
2
=
2
a
x
.
View Solution