If the line `x/a+y/b=1` passes through the points a `(2,- 3)` and `(4, - 5),` then `(a, b) =`

Options

A. `(1,1)`
B. `(-1,1)`
C. `(1,-1)`
D. `(-1,-1)`

Answer

D

Explanation

Given, line is `(x)/(a)+(y)/(b)=1`
Since, the points (2,-3)and (4,-5)lies on this line, `therefore 2/a-3/b=1`
and `4/a-5/b=1`
On multiplying by 2 in Eq. (ii) and then subtracting Eq. (ii), we get `-6/b+5/b=1`
`rArr (-1)/(b)=1`
`therefore b=-1`
On putting b=-1in Eq. (ii), we get `2/a+3=1`
`rArr2/a=-2rArra=-1`
`therefore (a,b)=(-1,-1)`