Question

find the equation of a point p so that PA^2 -PB^2 = 20 where A(+2, 0,4) and B (3, 2,-1) are two points​

Answer 1

Step-by-step explanation:

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11th

Applied Mathematics

Straight lines

Introduction

Find the point on x - axis ...

Maths

Find the point on x-axis which is equidistant from the points (−2,5) and (2,−3)

Medium

Answer

Let the point on the x−axis be P(a,0)

Let the other two point be A(−2,5) and B(2,−3)

So by distance formula we have,

Distance between two points =

(x

2

−x

1

)

2

+(y

2

−y

1

)

2

Then,

PA=PB

PA

2

=PB

2

⇒(a+2)

2

+(0−5)

2

=(a−2)

2

+(0+3)

2

⇒a

2

+4+4a+25=a

2

+4−4a+9

⇒4a+29=−4a+13

⇒ 8a=−16⇒a=−2