All points lying inside the triangle formed by the points (1, 3), (5,0) and (-1, 2) satisfy

Options

A. `3x+2y ge 0`
B. `2x+y-13 ge 0`
C. `2x-3y-12 le 0`
D. `-2x+y ge 0`

Explanation

Since, `3x+2y ge 0`……`(i)`
where `(1,3)(5,0)` and `(-1,2)` satisfy Eq. `(i)`
`:.` Option `(a)` is true.
Again , `2x+y-13 ge 0`
is not satisfied by `(1,3)`,
`:.` Option `(b)` is false.
`2x-3y-12 le 0`
is satisfied for all points,
`:.` Option `(c )` is true.
and `-2x+y ge 0`
is not satisfied by `(5,0)`
`:.` Option `(d)` is false
Thus `(a)` and `(c )` are correct answers.