What would be the point where the line given in the question below intersects the XY plane?

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1 Answer
Jun 1, 2018

(d) None of the Above.

Explanation:

Clearly, the eqn. of the given line L is,

L : (x,y,z)=(-1,3,3)+k(1,2,3), k in RR.

In other words, any point on L is,

(-1+k,3+2k,3+3k), k in RR.

Also, the XY"-plane"={(x,y,0) | x,y in RR}.

:." A point "P in L nn XY"-plane" rArr P in L & P in XY"-plane".

rArr 3+3k=0, or, k=-1.

:. P =P(-1+k,3+2k,3+3k)

=P(-1-1,3-2,3-3)=P(-2,1,0).

Hence, the right choice is (d) None of the Above.