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Mathematics
Mathematics
Problem
If
P
,
Q
,
R
,
S
P, Q, R, S
P
,
Q
,
R
,
S
are four coplanar points on the sides
A
B
,
B
C
,
C
D
,
D
A
AB, BC, CD, DA
A
B
,
B
C
,
C
D
,
D
A
of a skew quadrilateral, then
A
P
P
B
⋅
B
Q
Q
C
⋅
C
R
R
D
⋅
D
S
S
A
\frac{AP}{PB} \cdot \frac{BQ}{QC} \cdot \frac{CR}{RD} \cdot \frac{DS}{SA}
P
B
A
P
⋅
QC
B
Q
⋅
R
D
C
R
⋅
S
A
D
S
equals a. 1 b. -1 c. 3 d. -3
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