Q. 215.0( 2 Votes )

Show that the lin

Answer :

We have, (i)


And (ii)


Let P (α ,β ,γ ) is an intersecting point of line (i) and (ii)


(α, β ,γ ) satisfies line (i)



α = 3λ -1 , β = 5λ -3 , γ = 7λ -5


Also (α ,β ,γ ) lies on line (ii)





Now,



9λ -9 = 5λ -7


9λ -5λ = 9 -7


4λ = 2



Also,



25λ -35 = 21λ -33


4λ = 2



Since, the value of λ is same.


both lines intersect each other at P(α ,β ,γ )


point of intersection = P(α ,β ,γ )


= (α = 3λ -1, β = 5λ -3 , γ = 7λ -5)




Thus, point of intersection =


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