4. D and E are points on side AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 2:3, what is the ratio of area of ?ADE and area of quadrilateral BDEC?
7. The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?
10. PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ?QSR = 30°, then what is the value (in degrees)of POR?