Solve this: If a line segment AB with points A (0, 0) and B (2, 2) is extended in - Maths - Coordinate Geometry

Question

Solve this:

If a line segment AB with points A (0, 0) and B (2, 2) is extended
in both directions equally to P & Q such that PQ = 2AB, then
coordinates of points Q can be

( A )       - 1 ,   0      
                 
                 
                 
                 
                 
            ( B )    
  - 1 ,   3 ( C )       3 ,   - 1
                 
                 
                 
                 
                 
                  ( D
)       3 ,   3

Brijendra Pal · Accepted Answer

Hi,

<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ck_5a3936737f760%20png"
style="width: 454px; height: 371px;">
Equation of line passing through A0,0 and B 2,2y-y1=y2-y1x2-x1x-x1y- 0 = 22x-0y = x so now quick and smart method is to check the option and we can see that option D is the only option that will satisfy it
 3 =3 so coordinates of Q is 3,3

Solve this: If a line segment AB with points A (0, 0) and B (2, 2) is extended in both directions equally to P & Q such that PQ = 2AB, then coordinates of points Q can be ( A ) - 1 , 0 ( B ) - 1 , 3 ( C ) 3 , - 1 ( D ) 3 , 3

Solve this:

If a line segment AB with points A (0, 0) and B (2, 2) is extended in both directions equally to P & Q such that PQ = 2AB, then coordinates of points Q can be

$(A) (- 1, 0) (B) (- 1, 3) (C) (3, - 1) (D) (3, 3)$