Question

CONSTRUCTION OF TANGENT TO CIRCLE
➡️ When centre of circle is not given
* Give step by step explanation
NO SPAMING

Answer 1

When centre of circle is not given then we have to find the centre...
For finding centre take 3 points of circle... say A, B and C
Join AB and BC
Now take perpendicular bisector of AB and BC
The point where the perpendicular bisector of both chords meet is the centre of circle...

HOPE IT WORKS

Answer 2

Let’s say that we are given a circle with centre O and a point P outside it, and we have to construct two tangents from the point P to the circle without the help of a ruler. Follow the steps of construction as below:

1.Join OP and bisect it.  To bisect OP, take a compass, and open it slightly more than half of the length of the line segment.
2.From point P, mark a minimal arc above and below the line segment. Repeat the similar step from point O keeping the opening of the compass as same as it was from point P. Two points will be created where the two arcs, produced from point O and point P, meet.
3.Joint these two points with a line segment using a scale. This line segment bisects the OP. Let’s consider H as the mid-point of PO.
4.Taking the point H as a centre and HO as a radius, draw a circle. Let it intersect the given circle at the points, T and T’.
5.Join PT and PT’. Then PT and PT’ are the required two tangents.