Question

the coordinates of the points A and B are (-2,3) and (4,-5) respectively of a point 'p' moves so that PA^2-PB^2? = 20. Then the equation to the locus of the point p is 3x - 4y =​

Answer 1

Step-by-step explanation:

PA

2

−PB

2

=2k

2

⇒[(x−3)

2

+(y−4)

2

+(z−5)

2

]−[(x+1)

2

+(y−3)

2

+(z+7)

2

]=2k

2

⇒(x−3+x+1)(x−3−x−1)+(y−4+y−3)(y−4−y+3)+(z−5+z+7)(z−5−z−7)=2k

2

⇒(2x−2)(−4)+(2y−7)(−1)+(2z+1)(−12)=2k

2

⇒−8x+8−2y+7−24z−24=2k

2

⇒−8x−2y−24z−9=2k

2

⇒8x+2y+24z+9+2k

2

=0

Answer 2

Answer:

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