The line parallel to the X-axis and passing through the point of intersection of the lin `ax+2by+3b=0` and `bx-2ay-3a=0` where `(a,b)!=(0,0)` is

Options

A. above the X-axis at a distance of 3/2
B. above the X-axis at a distance of 2/3
C. below the X-axis at a distance of 2/3
D. below the X-axis at a distance of 3/2

Answer

D

Explanation

The line is parallel to the X-axis i.e. m=0
Also, point of intersection of the lines
`ax+2by+3b=0`
and `by-2ay-3a=0is (0,-(3)/(2)),`
`therefore` Required equation of the line is
`y+3/2=0(x-0)`
`impliesy=-3/2`
Hence, the line is below the X-axis at a distance of 3/2.