Question

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

SOLUTION

TO CHOOSE THE CORRECT OPTION

The Point ( - 1, - 2) lies on

(a) x - y = 1

(b) 2x = y

(c) x + y = - 3

(d) All of the above

EVALUATION

CHECKING FOR OPTION : (a)

Here the given equation of the line is

x - y = 1

Putting x = - 1 , y = - 2 we get

- 1 - ( - 2 ) = 1

⇒ - 1 + 2 = 1

⇒ 1 = 1

Which is true

So ( - 1 , - 2 ) lies on the line

So this option is correct

CHECKING FOR OPTION : (b)

Here the given equation of the line is

2x = y

Putting x = - 1 , y = - 2 we get

2 × ( - 1 ) = - 2

⇒ - 2 = - 2

Which is true

So ( - 1 , - 2 ) lies on the line

So this option is correct

CHECKING FOR OPTION : (c)

Here the given equation of the line is

x + y = - 3

Putting x = - 1 , y = - 2 we get

- 1 + ( - 2 ) = - 3

⇒ - 1 - 2 = - 3

⇒ - 3 = - 3

Which is true

So ( - 1 , - 2 ) lies on the line

So this option is correct

FINAL ANSWER

Hence the correct option is (d) All of the above

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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.