Prove that the diameter is the greatest chord in a circle.

Prove that the right bisector of a chord of a circle, bisects the corresponding arc or the circle.

Prove that the right bisector of a chord of a circle, bisects the corresponding arc or the circle.

In the given figure AB is the diameter and AC is the chord of a circle such that /_BAC=30^(@) . The tangent at C intersects AB produced at D. Prove that :BC=BD.

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.

Prove that the perpendicular bisector of a chord of a circle always passes through the centre.

Prove that the circle described on the focal chord of parabola as a diameter touches the directrix

Fill in the blanks: (i) The diameter of a circle is … times its radius (ii) The diameter of a circle is the … chord of the circle. (iii) The diameter of a circle pass through…. (iv) A chord of a circle is a line segment with its end points on the … (v) If we join any two points on a circle by a line segment, we obtain… (vi) A radius of a circle is a line segment with one end at …. and the other end at…. (vii) All radii of a circle are… (viii) The diameters of circle are… (ix) The total number of diameters of circle is… (x) Every point on a circle is…from its centre.. (xi) A chord of a circle contains exactly….points of the circle.. (xii) A diameter is the longest… (xiii) Concentric circles are circle having….

Two chords A B and A C of a circle are equal. Prove that the centre of the circle lies on the angle bisector of /_B A Cdot

Two chords A B and A C of a circle are equal. Prove that the centre of the circle lies on the angle bisector of /_B A Cdot

If P and Q a be a pair of conjugate points with respect to a circle S . Prove that the circle on PQ as diameter cuts the circle S orthogonally.