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VITEEE 2021 Paper
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Section:
Mathematics
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© examsnet.com
Question : 64
Total: 80
The angle of intersection to the curve
y
=
x
2
,
6
y
=
7
−
x
3
at
(
1
,
1
)
is :
Ï€
2
Ï€
4
Ï€
3
Ï€
Validate
Solution:
Let
m
1
and
m
2
be slope of curve
y
=
x
2
and
6
y
=
7
−
x
3
respectively.
Now,
y
=
x
2
⇒
d
y
d
x
=
2
x
⇒
(
dy
dx
)
(
1
,
1
)
=
2
i.e.
m
1
=
2
and
6
y
=
7
−
x
3
⇒
6
dy
dx
=
−
3
x
2
⇒
dy
dx
=
−
3
6
x
2
=
−
1
2
x
2
⇒
(
dy
dx
)
(
1
,
1
)
=
−
1
2
(
1
)
2
=
−
1
2
∴
m
2
=
−
1
2
∴
m
1
m
2
=
2
−
1
2
=
−
1
∴ Angle of intersection is
90
°
i.e.
Ï€
2
© examsnet.com
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