1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Derivative
The angle of ...
Question
The angle of intersection of the curves y = 2 sin
2
x and y = cos 2 x at
x
=
π
6
is
(a) π/4
(b) π/2
(c) π/3
(d) none of these
Open in App
Solution
(c) π/3
Given:
x
=
π
6
Now
,
y
=
2
sin
2
x
⇒
d
y
d
x
=
4
sin
x
cos
x
⇒
d
y
d
x
=
2
sin
2
x
⇒
m
1
=
d
y
d
x
x
=
π
6
=
2
×
3
2
=
3
Also
,
y
=
cos
2
x
⇒
d
y
d
x
=
-
2
sin
2
x
⇒
m
2
=
d
y
d
x
x
=
π
6
=
-
2
×
3
2
=
-
3
∴
tan
θ
=
m
1
-
m
2
1
+
m
1
m
2
=
3
+
3
1
-
3
3
=
2
3
-
2
=
3
⇒
θ
=
tan
-
1
3
=
π
3
Suggest Corrections
0
Similar questions
Q.
The angle of intersection of the curves y = 2 sin
2
x and y = cos 2 x at
x
=
π
6
is
(a) π/4
(b) π/2
(c) π/3
(d) none of these
Q.
The angle of intersection of the curves
y
=
2
s
i
n
2
x
a
n
d
y
=
c
o
s
2
x
a
t
x
=
π
6
is
Q.
The angle of intersection of the curves
y
=
2
s
i
n
2
x
a
n
d
y
=
c
o
s
2
x
a
t
x
=
π
6
is
Q.
The angle of intersection of the curves xy = a
2
and x
2
− y
2
= 2a
2
is
(a) 0°
(b) 45°
(c) 90°
(d) none of these
Q.
Find the angle of intersection between the curves
y
2
=
2
x
π
and
y
=
sin
x
at
x
=
π
2
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Derivative of Simple Functions
MATHEMATICS
Watch in App
Explore more
Derivative
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Solve
Textbooks
Question Papers
Install app