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MHT CET 2021 Math Solved Paper
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© examsnet.com
Question : 6
Total: 100
A line through the point
A
(
2
,
0
)
which makes an angle of
30
∘
with the positive direction of
X
-axis is rotated about
A
in clockwise direction
through an angle of
15
∘
. Then, the equation of the straight line in the new position is
(
2
−
√
3
)
x
+
y
−
4
+
2
√
3
=
0
(
2
−
√
3
)
x
−
y
−
4
+
2
√
3
=
0
(
2
−
√
3
)
x
−
y
+
4
+
2
√
3
=
0
(
2
−
√
3
)
x
+
y
+
4
+
2
√
3
=
0
Validate
Solution:
The equation of line in new position is
y
−
0
=
tan
15
∘
(
x
−
2
)
⇒
y
=
(
2
−
√
3
)
(
x
−
2
)
⇒
(
2
−
√
3
)
x
−
y
−
4
+
2
√
3
=
0
© examsnet.com
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