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Byju's Answer
Standard IX
Mathematics
Basics of Geometry
In a right ...
Question
In a right
Δ
A
B
C
, right angled at
B
, the ratio of
A
B
to
A
C
is
1
:
√
2
, then
2
tan
A
1
−
t
a
n
2
A
is equal to
A
2
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B
1
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C
3
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D
u
n
d
e
f
i
n
e
d
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Solution
The correct option is
B
u
n
d
e
f
i
n
e
d
A
B
:
A
C
=
1
:
√
2
A
B
=
k
A
C
=
√
2
k
where
k
=
constant of proportionality
∴
B
C
2
=
A
C
2
−
A
B
2
=
3
k
2
−
k
2
=
k
2
∴
B
C
=
k
tan
A
=
B
C
A
B
=
k
k
=
1
2
tan
A
1
−
tan
2
A
=
2
×
1
1
−
1
=
2
0
=
under fined
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2
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