find the equation of a straight line whose x-intercept and y-intercept are(adsbygoogle = window.adsbygoogle || []).push({}); aandbrespectively.If this line varies such that [tex]\frac{1}{a^2}[/tex] + [tex]\frac{1}{b^2}[/tex] = [tex]\frac{1}{c^2} [/tex]with c as a constant,show that the locus of the foot of the perpendicular from the origin to this line is the curve

[tex] X^2[/tex] +[tex] Y^2[/tex] = [tex]C^2 [/tex].

I want to ask what is meant by the phrase 'foot of the perpendicular from the origin to this line ' ?

I hope that somebody will help me to explain the meaning and thanks for anybody that spend some time on this question.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Maths problem involving Coordimate Geometry

**Physics Forums | Science Articles, Homework Help, Discussion**