triangle as diameters, prove that thepo10. If cireles are drawn taking two sides of aintersection of these cireles lie on the third side.o right riangles with common hypotenuse ACII. ABC and ADC are twCAD LCBD.12. Prove that a cyclic parallelogram is a rectangleEXERCISE 10.6 (Optionał)Prove that the line ofcentres of two intersecting circles subtends equal angle●two points of intersectione areTwo chords AB and CD of lengths 5 cm and 11 cm respectively of a circleto each other and are on opposite sides of its centre. If the distance beween ACD is 6 cm, find the radius of the circle.The lengths of two parallel chords of a circle are 6 cm and 8 cm. If the smcentre?Let the vertex of an angle ABC be located outside a circle and let the sides of thintersect equal chords AD and CE with the circle. Prove that ZABC is equal todifference of the angles subtended by the chords AC and DE at the centre.Prove that the circle drawn with any side of a rhombus as diameter, passesthe point of intersection of its diagonals.at distance 4 cm from the centre, what is the distance of the other chord fABCD is a parallelogram. The circle through A, B and C intersect CD (pronecessary) at E. Prove that AE AD.AC and BD are chords of a circle which bisect each other. Prove that (i) AC anddiameters, (ii) ABCD is a rectangleBisectors of angles A, B and C of a triangle ABC intersect its circumcircle atF respectively, Prove that the angles of the triangle DEF are 9090°-C22