| In the given figure, l, m and n are three parallel lines and \[{{t}_{1}}\] and \[{{t}_{2}}\] two transversal lines which cut l, m and n at A, B, C and P, Q, R, respectively. Which of the following options is correct? |
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A) \[\frac{BC}{PQ}=\frac{AB}{QR}\]
B) \[\frac{AP}{BQ}=\frac{BQ}{CR}\]
C) \[\frac{AB}{BC}=\frac{PQ}{QR}\]
D) \[\frac{BQ}{AP}=\frac{PQ}{AB}\]
Correct Answer: C
Solution :
| Given that, \[l\parallel m\parallel n\] and \[{{t}_{1}}\] and \[{{t}_{2}}\] are the transversal lines, therefore \[\frac{AB}{BC}=\frac{PQ}{QR}\] |
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