Question

Ab is a diameter of a circle. p is the point on the semi circle apb. ah and bk are the perpendiculars from a and b respectively to the tangent at p. prove that ah+bk=ab

Answer 1

A tangent to a circle is perpendicular to the radius through the point of contact. A line drawn through the endpoint of a radius and perpendicular to it is a tangent to the circle. Typical Question: AB is a diameter of a circle.P is a point on the semi circle APB.