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MHT CET 2021 Math Solved Paper
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© examsnet.com
Question : 35
Total: 100
If the line joining two points
A
(
2
,
0
)
and
B
(
3
,
1
)
is rotated about
A
in anticlockwise direction through an angle of
15
∘
, then the equation of the line in new position is
y
=
−
√
3
x
+
2
√
3
y
=
3
x
−
6
y
=
1
√
3
x
−
2
√
3
y
=
√
3
x
−
2
√
3
Validate
Solution:
The slope of the line is
y
2
−
y
1
x
2
−
x
1
=
1
−
0
3
−
2
=
1
or
tan
45
∘
rotated anti-clockwise direction the line through
15
∘
the slope of line
A
D
in new position. New position will be
tan
60
∘
=
√
3
.
Therefore, the equation of the new line
A
D
is
y
−
0
=
√
3
(
x
−
2
)
y
=
√
3
x
−
2
√
3
© examsnet.com
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