Question

The length of line segment PQ is 10. If the co-ordinates of P is (8,3) , calculate the co-ordinates of Q if its abscissa is 14.​

Answer 1

Step-by-step explanation:

Distance between two points =

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Given, one point =(2,−3)

Let, other point =(10,b)

absicca is x cordinate

∴

(10−2)

2

+(b+3)

2

=10

8

2

+(b

2

+9+6b)

=10

Squaring both the sides, we get

64+b

2

+9+6b=100

(b+3)

2

=36

∴ b+3=6 and b+3=−6

∴ b=3 and b=−9.