Question

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

Answer 1

Step-by-step explanation:

ANSWER

Given,

A=(4,0)≡(x1,y1),B=(−4,0)≡(x2,y2)

⇒∣PA−PB∣=4

Distance Formula =(x−x1)2+(y−y1)2

⇒(x−4)2+(y−0)2−(x+4)2+(y−0)2=4

⇒(x−4)2+y2=16+(x+4)2+y

⇒4x2+4+8x=x2+16+8x+y2

⇒3x2−y2=12

⇒4x2−12

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