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Byju's Answer
Standard XIII
Mathematics
Slope Formula for Angle of Intersection of Two Curves
The angle of ...
Question
The angle of intersection of the curves
y
=
x
2
and
x
=
y
2
at (1, 1) is
[Roorkee 2000; Karnataka CET 2001]
A
t
a
n
−
1
(
4
3
)
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B
t
a
n
−
1
(
1
)
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C
90
o
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D
t
a
n
−
1
(
3
4
)
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Solution
The correct option is
C
90
o
x
=
l
o
g
p
⇒
p
=
e
x
⇒
y
=
e
−
x
⇒
d
y
d
x
=
e
−
x
a
n
d
d
2
y
d
x
2
=
e
−
x
;
∴
d
2
y
d
x
2
+
d
y
d
x
=
0.
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The angle of intersection of the curves
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