Find the angle between two radii at the centre of the circle as shown in the figure. Lines PA and PB are tangents to the circle at other ENDS of the radii and APR = 110. iii. Construct tangents to the circle from the point B, having radius 3.2 cm and centre ‘C’. Point B is at at a distance 7.2 cm from the centre. iv. From the top of a lighthouse, an observer looks at a ship and finds the angle of depression to be 60. If the height of the lighthouse is 84 metres, then find how far is that ship from the ligthouse?   3 1.73  v. The VOLUME of a cube is 1000 cm3 . Find its total SURFACE area. 4. Solve any two sub-questions: [8] i. Prove that, “The opposite angles of a cyclic quadrilateral are supplementary”. ii. Eliminate , if x = 3 cosec  + 4 cot , y = 4 cosec   3 cot . iii. A toy is a combination of a CYLINDER, hemisphere and a cone, each with radius 10 cm as shown in the figure. Height of the conical part is 10 cm and total height is 60 cm. Find the total surface area of the toy.   3.14, 2 1.41 5. Solve any two sub-questions: [10] i. In the GIVEN figure, AD is the bisector of the exterior A of ABC. Seg AD intersects the side BC produced in D. Prove that: BD AB CD AC  . ii. Construct the circumcircle and incircle of an equilateral XYZ with side 6.5 cm and centre O. Find the ratio of the radii of incircle and circumcircle. iii. A(5, 4), B(3, 2) and C(1, –8) are the vertices of a triangle ABC. Find the equation of median