JEE Mains · Maths · STD 12 - 11. three dimension geometry
The length of the perpendicular from the point \((1,-2,5)\) on the line passing through \((1,2,4)\) and parallel to the line \(x + y - z =0= x -2 y +3 z -5\) is.
- A \(\sqrt{\frac{21}{2}}\)
- B \(\sqrt{\frac{9}{2}}\)
- C \(\sqrt{\frac{73}{2}}\)
- D \(1\)
Answer & Solution
Correct Answer
(A) \(\sqrt{\frac{21}{2}}\)
Step-by-step Solution
Detailed explanation
\(d.r\)'s of the line \(=\left|\begin{array}{ccc}\hat{i} & \hat{j} & \hat{k} \\ 1 & 1 & -1 \\ 1 & -2 & 3\end{array}\right|=\hat{i}-4 \hat{j}-3 \hat{k}\) \(\therefore\) equation of line is…
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