Question

Tangents to a Circle from a Point Outside lt.

To draw the tangent to a circle at a given point on it, when the centre of the circle is known.

Answer 1

Given: A circle with centre O and a point P on it.

To construct : the tangent to the circle at the point P.

Steps of construction :

(i) Join OP.

(ii) Draw a line segment AB ⊥ OP at the point P. APB is the required tangent at P.

Steps of construction :

(i) Draw any chord PQ and join P and Q to a point R.

(ii) Draw ∠QPA equal to ∠PRQ on opposite side of chord PQ.

The line segment BPA is the tangent to the circle at P.