Question

if the points (x,y) , (2,3) and (-3,4) are collinear then find relationship b/w x and y​

Answer 1

Answer:

The given points are collinear then the area of triangle formed by these points will be 0

∴

2

1

[x

1

(y

2

−y

1

)+x

2

(y

3

−y

1

)+x

3

(y

1

−y

2

)]=0

Here (x

1

,y

1

)=(x,y)

(x

2

,y

2

)=(1,2)

(x

3

,y

3

)=(7,0)

⟹

2

1

[x(2−0)+1(0−y)+7(y−2)]=0

⟹

2

1

[2x−y+7y−14]=0

⟹

2

1

[2x+6y−14]=0

⟹2x+6y−14=0

⟹x+3y−7=0

Hence this is the required relation between x and y.