How can you draw the tangent to a circle at a given point when the centre of the circle in not known ?

A Tangent to a circle is a line which touches the circle at only one point.

In figure if PR is tangent to the circle at P and O is the centre of the circle then angle POQ is

Draw a tangent to a circle of radius 3 cm and centre O at any point K on the circle.

In figure if PR is tangent to the circle at P and O is the centre of the circle, then anglePOQ is ____.

The number of tangents that can be drawn to a circle at a point on the circle is………..

The number of tangents that can be drawn to a circle at a point on the circle is………..

A horse runs along a circle with a speed of 20k m//h . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

A tangent at a point on the circle x^2+y^2=a^2 intersects a concentric circle C at two points Pa n dQ . The tangents to the circle X at Pa n dQ meet at a point on the circle x^2+y^2=b^2dot Then the equation of the circle is