Let L (P OP= 4). Find the equation of L. - Vidyadip

Question

Let L (P OP= 4). Find the equation of L.

✓

Answer

L is the locus of points in the plane which are at 4 unit distance from the origin.
Let $\mathrm{P}(x, y)$ be any point on the locus $\mathrm{L}$.
As $\mathrm{OP}=4, \mathrm{OP}^2=16$
$
\begin{aligned}
& \therefore(x-0)^2+(y-0)^2=16 \\
& \therefore x^2+y^2=16
\end{aligned}
$
This is the equation of locus L.
The locus is seen to be a circle

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