Draw a circle $\odot(O, 4 \text{ cm})$ and take a point $X$ in its exterior at a distance of $7 \text{ cm}$ from $O$. Draw two tangents to the circle from point $X$. Write the steps of construction.
(N/A) Steps of construction:
$1$. Draw a circle with center $O$ and radius $4 \text{ cm}$.
$2$. Mark a point $X$ outside the circle such that the distance $OX = 7 \text{ cm}$.
$3$. Draw the perpendicular bisector of the line segment $OX$. Let $M$ be the midpoint of $OX$.
$4$. With $M$ as the center and $MO$ as the radius,draw a circle. This circle will intersect the original circle at two points,say $P$ and $Q$.
$5$. Join $XP$ and $XQ$. These are the required tangents to the circle from point $X$.
$1$. Draw a circle with center $O$ and radius $4 \text{ cm}$.
$2$. Mark a point $X$ outside the circle such that the distance $OX = 7 \text{ cm}$.
$3$. Draw the perpendicular bisector of the line segment $OX$. Let $M$ be the midpoint of $OX$.
$4$. With $M$ as the center and $MO$ as the radius,draw a circle. This circle will intersect the original circle at two points,say $P$ and $Q$.
$5$. Join $XP$ and $XQ$. These are the required tangents to the circle from point $X$.
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