Questions
Which of the following lines lies on the plane
a
x−11=y−1=z−5−1
b
x−y+z=0=2x+y−z
c
x−21=y2=z−53
d
x−21=y-2=z−5-3
detailed solution
Correct option is A
The condition that the line x−x1l=y−y1l=z−z1n lies on the plane ax+by+cz+d=0 is al+bm+cn=0 and ax1+by1+cz1+d=0Verify each option and then finalize the answer. The given plane is x+2y-z+4=0For the option(1), 11+2-1-1-1=1-2+1=0and 11+20-15+4=1-5+4=0Therefore, the linex−11=y−1=z−5−1 lies on the plane x+2y-z+4=0, , the option (1) is the answer.Talk to our academic expert!
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