AP EAMCET · Maths · Three Dimensional Geometry
If the perpendicular distance from \((1,2,4)\) to the plane \(2 x+2 y-z+k=0\) is 3 , then \(k=\)
- A 4
- B 7
- C 9
- D 19
Answer & Solution
Correct Answer
(B) 7
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & 2 x+2 y-z+k=0, P(1,2,4) \\ & p=\left|\frac{2(1)+(2)(2)-(4)+k}{\sqrt{4+4+1}}\right| \Rightarrow 3=\left|\frac{2+k}{3}\right| \Rightarrow k=7 .\end{aligned}\)
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