AP EAMCET · Maths · Three Dimensional Geometry
The angle between the line with the direction ratios \((2,5,1)\) and the plane \(8 x+2 y-z=4\) is
- A \(\cos ^{-1}\left(\frac{64}{\sqrt{9804}}\right)\)
- B \(\sin ^{-1}\left(\frac{64}{\sqrt{9804}}\right)\)
- C \(\sin ^{-1}\left(\frac{25}{\sqrt{2070}}\right)\)
- D \(\cos ^{-1}\left(\frac{25}{\sqrt{2070}}\right)\)
Answer & Solution
Correct Answer
(C) \(\sin ^{-1}\left(\frac{25}{\sqrt{2070}}\right)\)
Step-by-step Solution
Detailed explanation
Direction ratio of line \(=[2,5,1]\) Direction ratio of normal of plane \(=[8,2,-1]\) Angle between line and plane…
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