Find the point of intersection of line p...

Find the point of intersection of line passing through `(0,0,1)` and the intersection lines `x+2y+z=1,-x+y-2z=2 and x+y=2,x+z=2` with the `x y` plane.

A

`((5)/(3), -(1)/(3), 0)`

B

`(1, 1, 0)`

C

`((2)/(3), -(1)/(3), 0)`

D

`(-(5)/(3), (1)/(3), 0)`

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The correct Answer is:

(a)

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