Question

find the distance between the point A(-3,4) and B (2,-8​

Answer 1

Answer:

Distance

between two points (x

1

,y

1

) and (x

2

,y

2

) can be calculated using the formula

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Distance between (a,2) and (3,4)=8

(3−a)

2

+(4−2)

2

=8

9+a

2

−6a+4

=8

a

2

−6a+13

=8

a

2

−6a+13=64

a

2

−6a−51=0

a=

2(1)

−(−6)±

(−6

2

)−4(1)(−51)

=>a=

2

6±

36+204

=>a=3±2

15