Question

If the distance between the points A(2,1) and B(8,y) is 10 units , find the value of y​

Answer 1

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

Answer 2

Answer:

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