Given equation of straight lines are
or
‌‌‌=‌=‌=λ......(i)
and
‌=‌=‌=µ or,
‌=‌=‌=µ.....(ii)
From Eq. (i) , coordinates are
(−λ+3−2λ−4,2λ+5) From Eq. (ii) coordinates are
(µ+3,2µ−4,7µ+5) For intersecting the given lines,
−λ+3=µ+3 ⇒‌‌µ+λ=0.....(iii)
−2λ−4=2µ−4 ⇒‌‌2µ+2λ=0 ....(iv)
2λ+5=7µ+5 ⇒‌‌7µ−2λ=0....(v)
From Eqs. (iii), (vi), (v)
µ=0,λ=0 Hence, intersecting points are
(0+3,−2×0−4,2×0+5)=(3,−4,5)