for what value of k will the line (x-k)/3=(y+4)/2=(z+6)/1 intersects the plane x-4y+5z+5=0 in,a)) A single point?b)) An infinite number of points ?c)) No point ?

ill just tell u d concept.

for infinite pts d line must lie on d plane therefore (k,-4,-6) must lie on d plane

for no point d line must lie on a plane parallel to x-4y+5z=0

for a single pt ull get no ans coz d given line is perpendicular to the normal to the plane

good luck

Approved