COMEDK · Maths · 34. Three Dimensional Geometry
Find the distance of a point \((1,2,3)\) from the plane \(3 y+4 z+4=0\).
- A \(4.4\)
- B 4
- C \(4.04\)
- D \(4.44\)
Answer & Solution
Correct Answer
(A) \(4.4\)
Step-by-step Solution
Detailed explanation
Perpendicular distance of point \((1,2,3)\) from plane \(3 y+4 z+4=0\) \[ =\left|\frac{3(2)+4(3)+4}{\sqrt{(3)^{2}+(4)^{2}}}\right|=\left|\frac{6+16}{5}\right|=\left|\frac{22}{5}\right|=4.4 \]
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