Question

Three lines are given in figure, which form a triangle. A point \(P(\alpha ,0)\) lies inside of the triangle. Range of \(\alpha \) is

L;i2x+3y+3=0

• A. $(-2,\frac{3}{2})$
• B. $(\frac{-3}{2},\frac{3}{2})$
• C. $(-1,2)$
• D. $(-2,1)$

Answer 1

The correct option is B $(\frac{-3}{2},\frac{3}{2})$

x – intercept of $L_3:x_1=\frac{-3}{2}$

x – intercept of $L_1:x_2=\frac{3}{2}$

$\alpha ϵ(\frac{-3}{2},\frac{3}{2})$