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Bangladesh Contests
Bangladesh Mathematical Olympiad
2018 Bangladesh Mathematical Olympiad
2
2
Part of
2018 Bangladesh Mathematical Olympiad
Problems
(1)
Diameter,tangent & intersection point
Source: BdMO National 2018
2/27/2019
BdMO National 2018 Higher Secondary P2
A
B
AB
A
B
is a diameter of a circle and
A
D
AD
A
D
&
B
C
BC
BC
are two tangents of that circle.
A
C
AC
A
C
&
B
D
BD
B
D
intersect on a point of the circle.
A
D
=
a
AD=a
A
D
=
a
&
B
C
=
b
BC=b
BC
=
b
.If
a
≠
b
a\neq b
a
=
b
then
A
B
=
?
AB=?
A
B
=
?
geometry
circles
Triangle
contests