Q. 225.0( 1 Vote )

Show that lines <

Answer :

We have , and


Given lines can be written in cartesian form as


(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 = -λ +1 , γ = -1


Also (α ,β ,γ ) lies on line (ii)





Now,


3λ -3 = 0


3λ = 3


λ = 1


Also, -λ +1 = 0


λ = 1


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 = -λ +1 , γ = -1)


= (α = 3× 1 +1 , β = -1 +1 , γ = -1)


Thus , point of intersection = (4,0,-1)


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