Math, asked by kashiskummar205, 1 year ago

How to find the locus of the point which moves in a plane so that.....?

Answers

Answered by omkar81
0
(1) Equating the square of the distance between P and S and the square of the distance between P and the line we have 
x^2 + (y-a)^2 = (y+a)^2 
x^2 + y^2 - 2ay + a^2 = y^2 +2ay + a^2 and therefore the equation of the locus (a parabola) is 
y = (1/(4a)) x^2 

(2) Do it all over again as above or just exchange x and y and you get the equation of the locus 
x = (1/(4a)) y^2
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