Question

The Point (-1,-2) lies on (a) x-y =1 (b) 2x =y (c) x +y= -3 (d) All of the above​

Answer 1

ᴀɴᴡsᴇʀ:

Answer in the attachment

Answer 2

The Point (-1,-2) lies on (d) All of the above

Step-by-step explanation:  

Given:  Point (-1,-2)  

To find : The line on which the point lies.  

• We know, if a point lies on a particular line, it must satisfy the equation of that particular line. Therefore, Point $(-1,-2) [x=-1\ and\ y=-2]$ should satisfy the equations of the lines in the question to lie on them.

       (a) $x-y =1$  

       ⇒ Putting the values of point $(-1,-2)$  

       ⇒ $-1 - (-2)=1$  

      ⇒ $-1 + 2=1$  

      ⇒ $1=1$  

Hence, the point  $(-1,-2)$   lies on (a)  $x-y =1$    

       (b) $2x=y$  

       ⇒ Putting the values of point $(-1,-2)$    

       ⇒ $2\times -1 = -2$  

      ⇒ $-2 = -2$  

Hence, the point $(-1,-2)$   lies on  (b) $2x=y$    

       (c) $x+y=-3$  

       ⇒ Putting the values of point  $(-1,-2)$    

       ⇒ $-1+(-2)=-3$  

      ⇒ $-1-2=-3$  

      ⇒ $-3=-3$  

Hence, the point  $(-1,-2)$   lies on (c) $x+y=-3$    

Therefore, the point lies on on the three lines. So, Option (d) All of the above is the correct option.