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JEE Advanced 2013 Paper 2 Mathematics Q16
Mathematics
Problem
Paragraph for Questions 15 and 16 Let
P
Q
PQ
P
Q
be a focal chord of the parabola
y
2
=
4
a
x
y^2=4ax
y
2
=
4
a
x
. The tangents to the parabola at
P
P
P
and
Q
Q
Q
meet at a point lying on the line
y
=
2
x
+
a
y=2x+a
y
=
2
x
+
a
,
a
>
0
a>0
a
>
0
. If the chord
P
Q
PQ
P
Q
subtends an angle
θ
\theta
θ
at the vertex of
y
2
=
4
a
x
y^2=4ax
y
2
=
4
a
x
, then
tan
θ
\tan\theta
tan
θ
=
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