Question

If the distance between the points (7,-4) and (a, 1) is 13, find the value(s) of a

step by step​

Answer 1

Answer:

Given two points A(7,1,-3) and B(4,5,λ)

total distance=13units ,λ =?

distance of AB =

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

+(z

2

−z

1

)

2

13=

(4−7)

2

+(5−1)

2

+(λ+3)

2

169=9+16+[λ

2

+6λ+9]

λ

2

+6λ+9=144

⇒λ

2

+6λ−135=0

∴λ=9,−15

∴λ=9