If p, q and r are in arithmetic progression,
then the line
px + qy + r = 0
necessarily intersects which of the following circles?
$$x^2 + y^2 + 4x – 4y + 7 = 0$$ or $$ x^2 + y^2 – 6x + 6y + 13 = 0 $$
I tried by assigning
where a = first term and d =common-difference.
I put these values in
px + qy = r
And put this value of x in terms of y in the circle equations. But then it get complicated. And i got stuck. Is there is any other easier way it can be solved ? Thanks in advance.