Question

The combined equation of the three sides of a triangle is $(x^2-y^2)(2x+3y-6)$. If the point $(0,a)$ lies in the interior of this triangle then

• A. $-2<\alpha <0$
• B. $-2<\alpha <2$
• C. $0<\alpha <2$
• D. $\alpha \ge 2$

Answer 1

Answer: (C)

$0<\alpha <2$

The point $(0,a)$ lies on the y axis.

The triangle intersects the yaxis at $(0,0)$ and $(0,2)$ .

For the point $(0,a)$ to be inside the triangle, $0<a<2$

Hence, the answer is option (C)