If AB is chord of a circle with centre O, AOC is a diameter and AT is the tangent at A as shown in figure. Prove that `angleBAT=angleACB.`

In fig AB is chord of a circle with centre O and AP is the tangent at A such that angleBAP = 75^@ find angleACB

AB is a chord of a circle with centre O and diameter 20 cm. If AB = 12 cm, find the distance of AB from O.

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure.Prove that BE=DE and AE=CE.

Two equal chords AB and CD of a circle with centre O, when produced meet at a point E as shown in Figure,Prove that BE=DE and AE=CE.

In a circel with centre O. chords AB and CD interest inside the circumference at E. Prove that angle AOC+BOD=2angle AEC .

In the adjoining figure, seg AB is a diameter of a circle with centre O. the bisector of angleACB intersects the circle at point D. Prove that ,seg ADcongseg BD . Complete the following proof by filling the blanks.

In a circle with centre O, AOC is a diameter of the circle, BD is a chord and OB and CD are joined. If angle AOB = 130^@ , then angle BDC is equal to

In the giben figure, AB is the diameter of the circle, with centre O and AT is the tangent. Calculate the calue of x.

In the given figure,AB is diameter of a circle with centre O and AT is a tangent at /_AOQ=58^(@), find /_ATQ.