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

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Answer 1 · 2018-06-01T17:58:46

(d) None of the Above.

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.