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Byju's Answer
Standard XII
Mathematics
Slope Intercept Form of a Line
A line y=x ...
Question
A line
y
=
x
is rotated through
60
o
. Find the new angle made by line with X axis.
A
105
o
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B
135
o
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C
155
o
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D
120
o
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Solution
The correct option is
A
105
o
Given
y
=
x
slope of line
m
=
t
a
n
θ
=
d
y
d
x
m
=
t
a
n
θ
=
d
(
x
)
d
x
m
=
t
a
n
θ
=
1
hence
θ
=
45
o
now rotate the line anti-clockwise through
60
o
so angle makes by new line with positive
X
-axis is
45
o
+
60
o
=
105
o
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0
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