The joint equation of the pair of lines passing through (2, 3) and parallel to the coordinate axes is

Options

A. `xy-3x-2y+6=0`
B. `xy+3x+2y+6=0`
C. `xy=0`
D. `xy-3x-2y-6=0`

Explanation

Equatin of the coordinate axes are `x=0` day `y=0.`
`therefore` The equations of rthe lines passing through (2,3) and parallel to coordinate axes are,
`x=2 and y=3.`
`i.e., x-2=0and y-3 =0`
The joint equation is given a
`(x-2)(y-3) =0`
`xy-3x-2y+6=0`
Hence, the correct answer from the given alternative ia (a).