In the adjoining figure, M is the centre of the circle and seg AB is a diameter. Seg MS`bot` chord AD, seg MT `bot` chord AC, `angleDABcongangle CAB`.
Prove that : chord AD`cong` chord AC.

In the adjoining figure, O is the centre of circle and diameter AC = 26 cm . If chord AB = 10 cm , then the distance between chord AB and centre O of the circle is :

In the adjoining figure, O is the centre of the circle. Seg AB, seg AC are tangent segments. Radius of the circle is r and l(AB)=r. Prove that , square ABOC is a square.

In the figure , O is the center of the circle.chord AB and CD are congruent . If seg ON bot chord AB and seg OM bot chord CD and OM =4cm , then find ON . Justify your answer .

In the adjoining figure, the circle is the incircle of isosceles DeltaABC , where seg AB = seg AC. Prove that M bisects BC.

In the adjoining figure, O is the centre of the centre of the circle. If diameter AC=26cm and chord AB=10cm, then find the distances of the chord AB from the centre of the circle.

In the adjoining figure, M is the midpoint of seg AB and seg CM is a median of DeltaABC . Find (A(DeltaAMC))/(A(DeltaBMC)) .

In the adjoining figure, O is the centre and seg AB is a diameter. At the point C on the circle, the tangent CD is drawn. Line BD is a tangent to the circle at the point B. Show that segOD || chord AC.

In the figure, O is the centre of the circle and B is a point of contact. Seg OE _|_ seg AD, AB = 12, AC = 8, find (i) AD (ii) DC (iii) DE.

O is the centre of a circle of diameter AB. If chord AC= chord BC, then find the value of angleABC .

In the figure, O is the centre of the circle. Seg AC is the diameter /_ ABC is inscribed in arc ABC and intercepts arc AMC then prove /_ ABC = 90^(@)