Q77 / 160 · AP EAMCET 2020 (21 Sep Shift 2) · Mathematics

The equation of the plane whose intercepts on \(x, y, z\) axes are \(1,2,4\) respectively is

Correct answer
A
\(4 x+2 y+z=4\)
B
\(4 x+2 y+z=2\)
C
\(4 x+2 y+z=1\)
D
\(x+2 y+4 z=0\)

Solution

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.

Hence, the correct answer is option: 'A'.

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