Math, asked by Tucker4u, 1 day ago

The relation between x and y so that the point (X,y) Is equidistant from the points (-4,-4) and (-2,4) 1s
(a)x +4y=3
(b) x-4y+3-0
(c) x+4y+3=0
(d) x -4y-3

Answers

Answered by rohitsrivatsav1779
1

Answer:

Let the point P(x,y) is equidistant from the points A(3,6)and B(−3,4)

∴PA=PB

By using the distance formula

=

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

we have

(x−3)

2

+(y−6)

2

=

(x+3)

2

+(y−4)

2

⇒(x−3)

2

+(y−6)

2

=(x+3)

2

+(y−4)

2

⇒x

2

−6x+9+y

2

−12y+36=x

2

+6x+9+y

2

−8y+16

⇒−6x−6x−12y+8y+36−16=0

⇒−12x−4y+20=0

⇒3x+y−5=0

Hence this is a relation between x and y.

Step-by-step explanation:

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