Question

find the value of a if the distance between the points AC( 3.-14) and b(a-5)is 9 unit​

Answer 1

Step-by-step explanation:

Given that - The line joining the points A(x

1

,y

1

)=(3,14); B(x

2

,y

2

)=(a,5) is 9 units long.

We apply the distance formula,

AB=d=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

⟹9=

(a−3)

2

+(5−14)

2

units

on squaring both sides we get

81=(a−3)

2

+(5−14)

2

81=a

2

+9−6a+25+196−140

0=a

2

−6a+9...(solve this quadratic equation and we get)

⟹a=3 units.

Answer 2

Answer:

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