A) \[\frac{x-a}{1}=\frac{y-b}{1}=\frac{z-c}{0}\]
B) \[\frac{x-a}{0}=\frac{y-b}{1}=\frac{z-c}{1}\]
C) \[\frac{x-a}{1}=\frac{y-b}{0}=\frac{z-c}{0}\]
D) \[\frac{x-a}{0}=\frac{y-b}{0}=\frac{z-c}{1}\]
Correct Answer: D
Solution :
The line through \[(a,\,\,b,\,\,c)\] is \[\frac{x-a}{l}=\frac{y-b}{m}=\frac{z-c}{n}\] ?..(i) Since the line is parallel to z-axis, therefore any point on this line will be of the form \[(a,\,\,b,\,\,{{z}_{1}}).\] Also any point on line (i) is \[(lr+a,\,\,mr+b,\,\,nr+c).\] Hence \[\begin{matrix} lr+a=a \\ mr+b=b \\ \end{matrix}\Rightarrow \,\,l=m=0\] Hence the line will be \[\frac{x-a}{0}=\frac{y-b}{0}=\frac{z-c}{1}\].
You need to login to perform this action.
You will be redirected in
3 sec
