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Find k, if PQ || RS and P(2,4), Q (3,6)...

Find k, if PQ `|| RS ` and P(2,4), Q (3,6), R (3,1), S(5,k).

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`P(2,4),Q(3,6),R(3,1)` and `S(5,k)`
Line `PQ||` line RS. ………….(Given)
Parallel lines have equal slopes
`:.` slope of line `PQ=` slope of line RS ltbr. `:.(6-4)/(3-2)=(k-1)/(5-3)`
`:.2/1=(k-1)/2`
`:.k-1=4`
`:.k=4+1`
`:.k=5`
`k=5`.
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