Question

Find the distance betwewn the point (2,3)and (10,-3)

Answer 1

Step-by-step explanation:

Answer

Given A(2,−3)&B(10,y) and AB=10

Distance between two points

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

∴10=

(10−2)

2

+(y+3)

2

Squaring both sides

⇒100=64+9+6y+y

2

⇒y

2

+6y−27=0

⇒y(y+9)−3(y+9)=0

⇒y=−9,3