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Question

If l, m, n are three parallel lines and the transversals t1 and t2 cut the lines l, m, n at the points A, B, C and P, Q, R as shown in the figure, then ___________.
725630_8bc893e09150423c81892de187493695.png
  1. AB/BC=PQ/QR
  2. AB/QR=BC/PQ
  3. AP/BQ=BQ/CR
  4. AB/PQ=AP/BQ

A
AP/BQ=BQ/CR
B
AB/QR=BC/PQ
C
AB/PQ=AP/BQ
D
AB/BC=PQ/QR
Solution
Verified by Toppr

If the distance between l and m is d1.
and distance between m and n is d2.
then, d1AB=d2BC (ABQ=BCR )

ABBC=d1d2eqn(1)

and d1PQ=d2QR (PQB=QRC)

PQQR=d1d2eqn(2)
From eqn (1) and eqn(2), We have
ABBC=PQQR

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