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WBJEE 2022 Math Solved Paper
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© examsnet.com
Question : 56
Total: 75
Let the tangent and normal at any point
P
(
a
t
2
,
2
a
t
)
,
(
a
>
0
)
, on the parabola
y
2
=
4
a
x
meet the axis of the parabola at
T
and
G
respectively. Then the radius of the circle through
P
,
T
and
G
is
a
(
1
+
t
2
)
(
1
+
t
2
)
a
(
1
−
t
2
)
(
1
−
t
2
)
Validate
Solution:
Hint :
P
(
a
2
,
2
a
t
)
,
T
(
−
a
t
2
,
0
)
,
G
(
2
a
+
a
2
,
0
)
Slope of
P
T
×
Slope of
P
G
=
−
1
∴
TG is a diameter of the circle through points
P
,
T
and
G
.
∴
radius
=
1
2
T
G
=
a
(
1
+
t
2
)
© examsnet.com
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