A circle centred at 'O' has radius 1 and contains the point A. Segment AB is tangent to the circle at A and `angleAOB =theta`. If point C lies on OA and BC bisects the angle ABO then OC equals

AB is a chord to a circle and PAT is the tangent to the circle at A. If angleBAT =75^@ and angleBAC = 45^@ , C being a point on the circle, then angleABC is equal to___

In the diagram as shown, a circle is drawn with centre C(1,1) and radius 1 and a line L. The line L is tangent to the circle at Q. Further L meets the y-axis at R and the x-axis at P in such a way that the angle OPQ equals theta where 0 lt theta lt (pi)/(2) . Coordinate of Q is

Two circles touch each other externally at the point C. AB is a common tangent to both the circels and touches the circle at the points A and B. Then the value of angle ABC is [GP-X]

Draw a circle with radius 3.1cm and draw a tangent at any point on the circle .

P is any point on diameter of a circle with centre O.A perpendicular drawn on diameter at the point O intersects the point O intersects the circle at the point Q. Extended QP intersects the circle at the point R.A tangent drawn at the point R intersects extended OP at the point S. Prove theat SP=SR. [GP-X]

OA and OB are the radius of a circle with centre at O and angleAOB= 150^@ . The tangents at A and B intersects at C. Find angleACB .

In the given figure ‘O’ is the centre of the circle and AB, CD are equal chords. If angleAOB = 70^@ . Find the angles of the Delta OCD

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C .A tangent drawn a point X lies on minor are BC intersects AB and AC at the points D and E respectively. Prove that perimeter of DeltaADE=2AB.

Two tangents AB and AC drawn from an external point A of a circle touch the circle at the point B and C. A tangent drawn to a point X lies on minor arc BC intersects AB and AC at the points D and E respectively. Prove that peremeter of triangleADE = 2AB .

AOB is a diamter of a circle with centreO, C is any point on the circle If AC = 6cm and BC = 8cm then AB=