AP EAMCET · Maths · Three Dimensional Geometry
The equation of the plane whose intercepts on \(x, y, z\) axes are \(1,2,4\) respectively is
- A \(4 x+2 y+z=4\)
- B \(4 x+2 y+z=2\)
- C \(4 x+2 y+z=1\)
- D \(x+2 y+4 z=0\)
Answer & Solution
Correct Answer
(A) \(4 x+2 y+z=4\)
Step-by-step Solution
Detailed explanation
Equation of plane having intercepts with co-ordinate axes as \(1,2,4\) respectively is \(\frac{x}{1}+\frac{y}{2}+\frac{z}{4}=1 \Rightarrow 4 x+2 y+z=4\) Hence, option (a) is correct.
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