Question

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

• A. $3x + 2y \geq 0$
• B. $2x + y - 13 \leq 0$
• C. $2x - 3y - 12 \leq 0$
• D. All the above

Answer 1

Answer: (D)

All the above

Answer 2

For $( 1,3 ) , 3 x + 2 y = 3 + 6 > 0$ for (5, 0),

$3 \times 5 + 0 > 0$ and for $( - 1,2 ) , - 3 + 4 > 0$

Similarly other inequalities hold good.