A plane II makes intercept 3 and 4 respectively on `x` and `z` axes. If II is parallel to y-axis, then its equation is

Options

A. `3x+4y=12`
B. `4x+3z=12`
C. `3y+4z=12`
D. `4y+3y=12`

Answer

B

Explanation

Let the equatgion of the plane be
`x/a+y/b+z/c=1`……………i
It makes intercepts 3 and 4 respectively on x and z-axis.
`:.a-3` and `c=4`
It is given that the plane (i) is parallel to y-axis
i.e. `x/0=y/1=z/0`
`:.1/axx0+1/bxx1+1/cxx0=0implies1/b=0`
Hence the equation of the plane is
`x/3+z/4=1` or `4x+3z=12`