Question

Question 4
Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre of circle.

Answer 1

1. Firstly taking the perpendicular bisector of the distance from the centre to the external point. After that taking one half of bisector as radius and draw a circle.

2. Drawing circle intersect the given circle at two points Now, meet these intersecting point to an external point and get the required tangents.

Given, a point M’ 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 centre of this circle is $O$.
2. Join $O{M}^{\prime }$ and bisects it let M be mid-point of $O{M}^{\prime }$.
3. Taking M as centre and $MO$ as radius draw a circle to intersect circle $4cm$ at two points,$P$and $Q$.
4. Join $P{M}^{\prime }$and $Q{M}^{\prime }P{M}^{\prime }$and $Q{M}^{\prime }$ are the required tangents from $M^{\prime }$ to circle C $4cm$