Write the equation of the plane whose intercepts on the coordinate axes are `-4,2a n d3` respectively.

Options

A. `3x+6y+4z=12`
B. `-3x+6y+4z=12`
C. `-3x-6y-4z=12`
D. none of these

Answer

B

Explanation

We know that the equation of a plane whose intercepts on the coordinate axes are a,b, and c respectively, is
`x/a+y/b+z/c=1`
Here `a=-4,b=2` and `c=3`
So the equation of the required plane is
`x/(-4)+y/2+z/3=1` or `-4x+6y+4z=12`