Question

If the distance between A(1,3) and B(a,0) is 3 units, then a =​

Answer 1

Step-by-step explanation:

A(1,3), B(x,7)

AB=5 units

Distance between two points =

(x

1

−x

2

)

2

+(y

1

−y

2

)

2

(x

1

,y

1

) and (x

2

,y

2

)

AB=

(x−1)

2

+(7−3)

2

Squaring Both sides

(AB)

2

=(x−1)

2

+(4)

2

(5)

2

=x

2

−2x+1+16

25=x

2

−2x+17

x

2

−2x−8=0

x

2

−4x+2x−8=0

(x−4)(x+2)

x=−2 or 4