Prove that the square of the distance between the two points (x1,y1) and (x2,y2) of the circle x^2+y^2=a^2 is 2(a^2-x1x2-y1y2)?
2 Answers
Explanation:
Equation of circle is
are two points on the circle
be
Putting
see below
Explanation:
We know,
Distance between any two points is
{By applying
but
Therefore,
and,
Substituting,we get,
or,
or,