Question

let L=(P/op=4) find equation of Locus
​

Answer 1

Answer:

Step-by-step explanation:

Given: Condition that the point A(2,3) and B(1,4) are at equal distance at P(x,y).

⇒AP=PB

Using distance formula in the above condition, we have

(x−2)

2

+(y−3)

2

​

=

(x−1)

2

+(y−4)

2

​

Squaring both sides, we get

(x−2)

2

+(y−3)

2

=(x−1)

2

+(y−4)

2

⇒x

2

+4−4x+y

2

−6y+9=x

2

+1−2x+y

2

−8y+16

⇒4−4x−6y+9−1+2x+8y−16=0

⇒−2x+2y−4=0

or x−y+2=0 is the equation of the locus.