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Tardigrade
Question
Mathematics
The image of the point A(1,2) by the line mirror y=x is the point B and the image of B by the line mirror y=0 is the point (α, β), then :
Q. The image of the point
A
(
1
,
2
)
by the line mirror
y
=
x
is the point
B
and the image of
B
by the line mirror
y
=
0
is the point
(
α
,
β
)
, then :
585
170
Straight Lines
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A
α
=
1
,
β
=
−
2
B
α
=
0
,
β
=
0
C
α
=
2
,
β
=
−
1
D
none of these
Solution:
Image of
A
(
1
,
2
)
in line mirror
y
=
x
is
(
2
,
1
)
Image of
B
(
2
,
1
)
in
y
=
0
(
x
−
axes
)
is
(
2
,
−
1
)
Hence,
α
=
2
,
β
=
−
1