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JEE Main 2013 Question Paper
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© examsnet.com
Question : 40
Total: 90
The intercepts on x-axis made by tangents to the curve,
y
=
x
∫
0
|
t
|
d
t
,
x
∊
R
.
which are parallel to the line
y
=
2
x
, are equal to
±
2
±
3
±
4
±
1
Validate
Solution:
d
y
d
x
=
|
x
|
=
2
⇒
x
=
±
2
⇒
y
=
2
∫
0
|
t
|
d
t
=
2
for x = 2
and
y
=
−
2
∫
0
|
t
|
d
t
=
−
2
for x =-2
∴ tangents are
y
−
2
=
2
(
x
−
2
)
⇒
y
=
2
x
−
2
and
y
+
2
=
2
(
x
+
2
)
⇒
y
=
2
x
+
2
and Putting y=0,we get x = 1 and
−
1
© examsnet.com
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