Question

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Find the equation of Locus of a point which is equidistant from the points, A(-3,2) and B(0,4).​

Answer 1

Answer:

Let the point be (h,k).

Given:

Distance of point from A=Distance of point from B

⟹ (h+3) 2

+(k−2)

2

= h 2 +(k−4)

2

⟹(h+3) 2 +(k−2) 2=h

2+(k−4) 2

⟹h

2+6h+9+k

2

−4k+4=h

2 +k

2 −8k+16

⟹6h−4k+13=−8k+16

⟹6h+4k=3

Replacing h with x and k with y:

6x+4y=3

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Answer 2

Step-by-step explanation:

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