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JEE Mains · Maths · STD 12 - 11. three dimension geometry
Let \(Q\) be the foot of perpendicular from the origin to the plane \(4x - 3y+ z+ 13 = 0\) and \(R\) be a point \((- 1 ,1, -6)\) on the plane. Then length \(QR\) is
- A \(\sqrt {14}\)
- B \(\sqrt {\frac {19}{2}}\)
- C \(3\sqrt {\frac {7}{2}}\)
- D \(\frac {3}{\sqrt 2}\)
Answer & Solution
Correct Answer
(C) \(3\sqrt {\frac {7}{2}}\)
Step-by-step Solution
Detailed explanation
Let \(P\) be the image of \(O\) in the given plane. Equation of theplane, \(4 x-3 y+z+13=0\) OP is nornal to the plane, therefree diredion ratio of \(OP\) are proportional to \(4,-3,1\) Since \(OP\) passes through \((0,0,0)\) and has direction ratio proport ional to \(4,-3,1\)…
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