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WBJEE 2022 Math Solved Paper
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© examsnet.com
Question : 3
Total: 75
A line passes through the point
(
−
1
,
1
)
and makes an angle
sin
−
1
(
3
5
)
in the positive direction of
x
-axis. If this line meets the curve
x
2
=
4
y
−
9
at
A
and
B
, then
|
A
B
|
is equal to
4
5
unit
5
4
unit
3
5
unit
5
3
unit
Validate
Solution:
Hint :
4
y
−
3
x
=
7
and
x
2
=
4
y
−
9
On solving,
x
2
−
3
x
+
2
=
0
⇒
x
=
1
,
2
and
y
=
5
2
,
13
4
A
(
1
,
5
2
)
and
B
(
2
,
13
4
)
|
A
B
|
=
5
4
© examsnet.com
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