Mathematics - Parabola Question with Solution | TestHub

Paragraph:Read the following passage and answer the questions. Let $ABCD$ be a square of side length 2 units. $C_2$ is the circle through vertices $A,B,C,D$ and $C_1$ is the circle touching all the sides of square $ABCD$. $L$ is the line through $A$.Question:A circle touches the line $L$ and the circle $C_1$ externally such that both the circles are on the same side of the line, then the locus of centre of the circle is