If the coordinates of the middle point of the portion of a line interceptecd between the coordinate axes is `(3,2)`, then the equation of the line will be

Options

A. `2x+3y=12`
B. `3x+2y=12`
C. `4x-3y=6`
D. `5x-2y=10`

Answer

A

Explanation

Since, the coordinate of the middle point are P (3,2)
`therefore 3=(1.0+1.a)/(1+1)`
`rArr 3=(a)/(2)rArra=6`
Similarly, `b=4`
`therefore` Equation of the line is `(x)/(6)+(y)/(4)=1`
`rArr2x+3y=12`