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AP EAMCET Engineering 17 Sep 2020 Shift 2 Paper
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© examsnet.com
Question : 22
Total: 160
If the axes are rotated through an angle
45
°
,
then the co-ordinates of the point
(
4
√
2
,
−
6
√
2
)
in the new system are______
(
−
10
,
−
2
)
(
−
2
,
−
10
)
(
10
,
10
)
(
−
2
,
10
)
Validate
Solution:
Let
(
x
,
y
)
are coordinates related to old axes and
(
X
,
Y
)
are related to rotated (new) axes then,
x
=
X
cos
θ
−
Y
sin
θ
y
=
X
sin
θ
+
Y
cos
θ
Here,
θ
=
45
∘
x
=
4
√
2
,
y
=
−
6
√
2
So,
4
√
2
=
X
√
2
−
Y
√
2
and
−
6
√
2
=
X
√
2
+
Y
√
2
Adding we have,
−
2
√
2
=
2
⋅
X
√
2
⇒
X
=
−
2
and subtracting,
10
√
2
=
−
2
Y
√
2
⇒
Y
=
−
10
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