Question

find the equation of the locus of it A(4,0 ) B(-4, 0) and PA-PB 4​

Answer 1

Explanation:

Given,

A=(4,0)≡(x

1

,y

1

),B=(−4,0)≡(x

2

,y

2

)

⇒∣PA−PB∣=4

Distance Formula =

(x−x

1

)

2

+(y−y

1

)

2

⇒

(x−4)

2

+(y−0)

2

−

(x+4)

2

+(y−0)

2

=4

⇒(x−4)

2

+y

2

=16+(x+4)

2

+y

⇒4x

2

+4+8x=x

2

+16+8x+y

2

⇒3x

2

−y

2

=12

⇒

4

x

2

−

12

y

2

=1

Answer 2

Answer:

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