Question

Choose the correct statement which describes the position of the point$\left(-6,2\right)$ relative to straight lines $2x+3y-4=0$and $6x+9y+8=0$

• A. Below both the lines
• B. Above both the lines
• C. In between the lines
• D. None of the above

Answer 1

The correct option is A

Below both the lines

Explanation for the correct option:

To find the position of the point$\left(-6,2\right)$:

The given point is $\left(-6,2\right)$and equations of straight lines

$L_1:$$2x+3y-4=0$

$L_2:$$6x+9y+8=0$

Now

$L_1\left(-6,2\right)=2\times -6+3\times 2-4=-10<0$

So, the point is below the line $L_1$.

$L_2\left(-6,2\right)=6\times -6+9\times 2+8=-10<0$

So, the point is below the line $L_2$.

Thus the point is below both lines $L_1$and $L_2$

Hence ,the correct option is (A).