# I got the answer just wanna confirm it

A is a give point and P is any point on a given straight line. If AQ=AP and AQ makes a constant angle with AP find the locus of Q.

I think the answer is that the locus would be a circle or a sector of circle

Just wanna confirm it. Thanks in advance

Your operation rotates $P$ around $A$ by a fixed angle. What happens to a line when you rotate it?
• First of all, the line does not have to pass through $A$, does it? But more importantly, you seem to be thinking of the area that is swept by the line, but you want to know where the line goes after the rotation, not where it passes through. – Tara May 30 '14 at 13:18
• @user3650050 It will be a circle if the distance $AP$ is fixed and you change the angle. In your case, the angle is fixed while the distance $AP$ is changing. – achille hui May 30 '14 at 13:19