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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