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Byju's Answer
Standard XII
Mathematics
Position of a Line W.R.T Hyperbola
The tangent t...
Question
The tangent to the parabola y²=-bx meets the parabola y²= 4ax in P and Q then mid point of PQ lies on the curve is
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Q.
A tangent to the parabola
y
2
=
4
a
x
meets the axes at A and B. Then the locus of mid point of
A
B
is
Q.
If the tangent at the point
P
(
x
1
,
y
1
)
to the parabola
y
2
=
4
a
x
meets the parabola
y
2
=
4
a
(
x
+
b
)
at
Q
&
R
,
then the mid point of
Q
R
is
Q.
Let
P
Q
be a focal chord of the parabola
y
2
=
4
a
x
.
The tangents to the parabola at
P
and
Q
meet at a point lying on the line
y
=
2
x
+
a
,
a
>
0.
Length of chord
P
Q
is
Q.
Let
P
Q
be a focal chord of the parabola
y
2
=
4
a
x
. The tangents to the parabola at
P
and
Q
meet at a point lying on the line
y
=
2
x
+
a
,
a
>
0
.
Length of chord
P
Q
Q.
Let
P
Q
be a focal chord of the parabola
y
2
=
4
a
x
.
The tangents to the parabola at
P
and
Q
meet at a point lying on the line
y
=
2
x
+
a
,
a
>
0.
If chord
P
Q
subtends an angle
θ
at the vertex of
y
2
=
4
a
x
,
then
tan
θ
=
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Position of a Line W.R.T Hyperbola
Standard XII Mathematics
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