AP EAMCET · Maths · Straight Lines
The perpendicular distance from the point \((-1,1,0)\) to the line joining the points \((0,2,4)\) and \((3,0,1)\) is
- A \(10\)
- B \(\frac{2 \sqrt{5}}{5}\)
- C \(\frac{5}{\sqrt{2}}\)
- D \(8\)
Answer & Solution
Correct Answer
(C) \(\frac{5}{\sqrt{2}}\)
Step-by-step Solution
Detailed explanation
Since, equation of line \(A B\) is \(\frac{x-0}{3}=\frac{y-2}{-2}=\frac{z-4}{-3}\) \(\begin{aligned} & \Rightarrow \frac{x}{3}=\frac{y-2}{-2}=\frac{z-4}{-3}=k(\text { Let }) \\ & \Rightarrow(x, y, z)=(3 k,-2 k+2,-3 k+4) \end{aligned}\) Now, direction ratio of \(P C\) is…
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