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JEE Mains 05-Sep-2020 Shift 2 Solved Paper
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© examsnet.com
Question : 74
Total: 75
If the lines
x
+
y
=
a
and
x
−
y
=
b
touch the curve
y
=
x
2
−
3
x
+
2
at the points where the curve intersects the
x
-axis, then
a
b
is equal to _____.
Your Answer:
Validate
Solution:
y
=
x
2
−
3
x
+
2
At
x
-axis
y
=
0
=
x
2
−
3
x
+
2
x
=
1
,
2
d
y
d
x
=
2
x
−
3
A
(
1
,
0
)
B
(
2
,
0
)
(
d
y
d
x
)
x
=
1
=
−
1
and
(
d
y
d
x
)
x
=
2
=
1
#
x
+
y
=
a
⇒
d
y
d
x
=
−
1
So
A
(
1
,
0
)
lies on it
⇒
1
+
0
=
a
⇒
[
a
=
1
]
#
x
−
y
=
b
⇒
d
y
d
x
=
1
So
B
(
2
,
0
)
lies on it
2
−
0
=
b
⇒
[
b
=
2
]
a
b
=
0.50
© examsnet.com
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