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Byju's Answer
Standard XII
Mathematics
Angle between Two Lines
find the acut...
Question
find the acute angle between
y
=
5
x
+
6
and
y
=
x
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Solution
y
=
5
x
+
6
⇒
m
1
=
5
y
=
x
⇒
m
2
=
1
Angle between the lines is given by
tan
θ
=
∣
∣
∣
m
1
−
m
2
1
+
m
1
m
2
∣
∣
∣
=
∣
∣
∣
5
−
1
1
+
5
(
1
)
∣
∣
∣
=
4
1
+
5
=
2
3
∴
θ
=
tan
−
1
(
2
3
)
.
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Find the acute angle between the two planes 3x – 6y + 2z = 7 and 2x + 2y – 2z =5.