A line segment $A M=a$ moves in the $X O Y$ plane such that $A M$ is parallel to the $X$-axis. If $A$ moves along the circle $x^2+y^2=a^2$, then the locus of $M$ is

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Aicharya · Accepted Answer

The given equation of circle, $x^2+y^2=a^2$ and length of $A M=a$

Now, total length $O M=O A+A M=2 a$ Since, point $A$ moves along the circle, so it describes a circle with radius $O M=2 a$, whose equation is $\begin{aligned} x^2+y^2 & =(2 a)^2 \\ x^2+y^2 & =4 a^2 \end{aligned}$

A line segment $A M=a$ moves in the $X O Y$ plane such that $A M$ is parallel to the $X$-axis. If $A$ moves…

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