Question

26. Prove that the perpendicular at the point of contact to the tangent to a circle

passes through the centre​

Answer 1

Step-by-step explanation:

To prove:PO is overlap on PO'

Proof:

Let assume PO' is perpendicular to given tanget.hence, angle O'PL=90°

angle OPL=90° (by theorem tangent is always perpendicular line joining by centre.)

angle OPL=O'PL=90° it is possible only when PO overlap on PO'

hence,it prove that your given statement.