## In the adjoining figure, O is the centre of the circle. From point R, seg RM and seg RN are tangent segments touching the circle at M and N. If (OR) = 10 cm and radius of the circle = 5 cm, then

(1)Given RM and RN are the tangents to the circle. OMR = ONR = 90˚ [Tangent theorem]In OMR , OR = 10 cm , [Given]OM = 5cm [Radius]OR2 = OM2+MR2 [Pythagoras theorem]102 = 52+MR2MR2 = 102-55MR2 = 75MR = 5√3RN = 5√3 [Tangent segments drawn from an external point to a circle are congruent](2)In OMR , OMR = 90˚ [Tangent […]

## In the adjoining figure the radius of a circle with centre C is 6 cm, line AB is a tangent at A. Answer the following questions.

(1)Given AB is the tangent to the circle with centre C.CAB = 90˚ [The tangent at any point of a circle is perpendicular to the radius through the point of contact.](2) Line AB seg CA. [Tangent theorem]CA is the radius of the circle.CA = 6cmDistance of point C from AB is 6cm.(3)In CAB , A […]