Question

To find the locus of the point which moves in a plane so that the sum of its distances from two fixed points in the same plane is always fixed. Pls answer fast to be the brainliest​

Answer 1

Answer:

ANSWER

Let (x,y) be locus of a moving point and (p,q),(r,s) be two fixed points

Distance of (x,y) from (p,q) is

(x−p)

2

+(y−q)

2

Distance of (x,y) from (r,s) is

(x−r)

2

+(y−s)

2

Sum of its distances is

(x−p)

2

+(y−q)

2

+

(x−r)

2

+(y−s)

2

=c

An ellipse is a curve in a plane surrounding two focal points such that the sum of the distances of two focal points is constant for every point on the curve.

Solving above equation, we get an ellipse

Plz mark me as brilliant