Question

14. If the distance between the 1 point
points A(2,-2) and B(-1, x) is
equal to 5, then the value of x
is:
O 2
O-2
O 1
O-1​

Answer 1

Step-by-step explanation:

A(5,1)≡(x

1

,y

1

)

B(−1,5)≡(x

2

,y

2

)

P≡(x,y)

PA=PB ....(given)

∴ By distance formula

(x−x

1

)

2

+(y−y

1

)

2

we have,

⇒(x−5)

2

+(y−1)

2

=(x+1)

2

+(y−5)2

⇒x

2

−10x+25+y

2

−2y+1=x

2

+2x+1+y

2

−10y+25

∴−2y+10y=2x+10x

∴8y=12y

2y=3x. [henceproved]