Math, asked by pranamesh67, 1 month ago

Find the equation of the locus of P, if A=(4,0), B =(-4,0) and PA - PB = 4. ​

Answers

Answered by vibhushreeviiid7976
0

Answer:

Answer is 1

Step-by-step 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

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