Draw $\odot(P, 5 \,cm)$ and take point $A$ in its exterior such that $PA = 9 \,cm$. Through $A$,draw a pair of tangents to $\odot(P, 5 \,cm)$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a circle with center $P$ and radius $5 \,cm$.
$2$. Mark a point $A$ outside the circle such that the distance $PA = 9 \,cm$.
$3$. Draw the perpendicular bisector of the line segment $PA$. Let $M$ be the midpoint of $PA$.
$4$. With $M$ as the center and $MA$ (or $MP$) as the radius,draw a circle. This circle will intersect the original circle at two points,say $B$ and $C$.
$5$. Join $AB$ and $AC$. Thus,$AB$ and $AC$ are the required pair of tangents to the circle from point $A$.
$1$. Draw a circle with center $P$ and radius $5 \,cm$.
$2$. Mark a point $A$ outside the circle such that the distance $PA = 9 \,cm$.
$3$. Draw the perpendicular bisector of the line segment $PA$. Let $M$ be the midpoint of $PA$.
$4$. With $M$ as the center and $MA$ (or $MP$) as the radius,draw a circle. This circle will intersect the original circle at two points,say $B$ and $C$.
$5$. Join $AB$ and $AC$. Thus,$AB$ and $AC$ are the required pair of tangents to the circle from point $A$.
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