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

Question

825 views around the world

You can reuse this answer
Creative Commons License

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.