Construct a tangent to a circle of radius $4\, cm$ from a point which is at a distance of $6\, cm$ from its centre.
(N/A) Given,a point $M^{\prime}$ is at a distance of $6\, cm$ from the centre of a circle of radius $4\, cm$.
Steps of construction:
$1.$ Draw a circle of radius $4\, cm$. Let the centre of this circle be $O$.
$2.$ Join $OM^{\prime}$ and bisect it. Let $M$ be the mid-point of $OM^{\prime}$.
$3.$ Taking $M$ as the centre and $MO$ as the radius,draw a circle to intersect the circle $(O, 4\, cm)$ at two points,$P$ and $Q$.
$4.$ Join $PM^{\prime}$ and $QM^{\prime}$. $PM^{\prime}$ and $QM^{\prime}$ are the required tangents from $M^{\prime}$ to the circle $C(O, 4\, cm)$.
Steps of construction:
$1.$ Draw a circle of radius $4\, cm$. Let the centre of this circle be $O$.
$2.$ Join $OM^{\prime}$ and bisect it. Let $M$ be the mid-point of $OM^{\prime}$.
$3.$ Taking $M$ as the centre and $MO$ as the radius,draw a circle to intersect the circle $(O, 4\, cm)$ at two points,$P$ and $Q$.
$4.$ Join $PM^{\prime}$ and $QM^{\prime}$. $PM^{\prime}$ and $QM^{\prime}$ are the required tangents from $M^{\prime}$ to the circle $C(O, 4\, cm)$.
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