MathDB
Problems
Contests
National and Regional Contests
India Contests
India IOQM
2022-23 IOQM India
11
11
Part of
2022-23 IOQM India
Problems
(1)
IOQM 2022-23 P-11
Source:
10/30/2022
Let
A
B
AB
A
B
be diameter of a circle
ω
\omega
ω
and let
C
C
C
be a point on
ω
\omega
ω
, different from
A
A
A
and
B
B
B
. The perpendicular from
C
C
C
intersects
A
B
AB
A
B
at
D
D
D
and
ω
\omega
ω
at
E
(
≠
C
)
E(\neq C)
E
(
=
C
)
. The circle with centre at
C
C
C
and radius
C
D
CD
C
D
intersects
ω
\omega
ω
at
P
P
P
and
Q
Q
Q
. If the perimeter of the triangle
P
E
Q
PEQ
PEQ
is
24
24
24
, find the length of the side
P
Q
PQ
PQ
geometry
perimeter
IOQM