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National and Regional Contests
India Contests
India LIMIT
2020 LIMIT
2020 LIMIT Category 1
13
13
Part of
2020 LIMIT Category 1
Problems
(1)
Computational Geo
Source: LIMIT 2020 Cat 1 Obj P13
5/2/2020
On the side
A
C
AC
A
C
of an acute triangle
△
A
B
C
\triangle ABC
△
A
BC
, a point
D
D
D
is taken such that
2
A
D
=
C
D
=
2
,
B
D
⊥
A
C
2AD=CD=2, BD\perp AC
2
A
D
=
C
D
=
2
,
B
D
⊥
A
C
. A circle of radius
2
2
2
passes through
A
A
A
and
D
D
D
and is tangent to the circumcircle of
△
B
D
C
\triangle BDC
△
B
D
C
. Find
[
Area
(
△
A
B
C
)
]
[\text{Area}(\triangle ABC)]
[
Area
(
△
A
BC
)]
where
[
.
]
[.]
[
.
]
is the greatest integer function.
geometry
limit