A) \[\frac{x-4}{1}=\frac{y+5}{-2}=\frac{z+2}{-1}\]
B) \[\frac{x+1}{1}=\frac{y-5}{2}=\frac{z-3}{-1}\]
C) \[\frac{x}{-1}=\frac{y}{5}=\frac{z}{3}\]
D) \[\frac{x}{4}=\frac{y}{-5}=\frac{z}{-2}\]
Correct Answer: A
Solution :
From \[\frac{x-{{x}_{1}}}{{{x}_{2}}-{{x}_{1}}}=\frac{y-{{y}_{1}}}{{{y}_{2}}-{{y}_{1}}}=\frac{z-{{z}_{1}}}{{{z}_{2}}-{{z}_{1}}}\], we get \[\frac{x-4}{1}=\frac{y+5}{-2}=\frac{z+2}{-1}\], which is the required straight line.
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