2. Find the co-ordinates of the midpoint of the line joining thethe co-ordinates of the points which divide AB internally andlengths OA and OB; then the external bisector of anwhich the external bisector of AOB meets AB. (Hint: find thecontaining the angle.) Deduce that the internal bisector of the angle1. A and B are the points (3, 5) and (-5, -7) respectively. Findtriangle divides the opposite sides externally in the ratio of the sidesFrom the first of these two equations3k – 51 = 7k + 7!-4k = 121k31-104(-3) +2 x 1-3 + 1L.H.S. =external divisor of AB.Exercises 17cexternally in the ratio 3:1.points A(5, 6), B(11, 2).and Q are the points dividing the line joining A(-3, -4),, 12) internally and externally in the ratio 5:3. Find the co-ordinates of P and Q.4. A, B, C are the points (5, -3), (-4, 9), (14, – 15) respectively.Given that ABC is a straight line find the ratios in which (a) Bdivides AC (b) A divides BČ and (c) C divides AB.5. The line joining the points A(3, 4) and B(7, 6) meets the linejoining C(1, 3) and D(11, 8) at the point P. Given P is the midpointof AB, find its co-ordinates and hence find the ratio CP:PD.6. The three points A(5, 6), B(-3, 2), C(-8, -5) form a triangle.Find the co-ordinates of the A', the midpoint of BC. If G is a pointon AA' such that AG:GA' = 2:1, find the co-ordinates of G.7. The line joining A(a, b) and B(p, q) is divided into six equalparts by the points P1, P2, P3, P4, P3. Find the co-ordinates of P,and P5-8. The two points A(4, 3) and B(8, –6) together with the originO form a triangle OAB. Find the co-ordinates of the point Pinangle of aAOB is the x-axis.365Shot on 511 liteGionee Dual Camera triangle divides the opposite sides externally in the ratio of the sideslengths OA and OB; then the external bisector of an angle of acontaining the angle.) Deduce that the internal bisector of the angleFrom the first of these two equations3k - 51= 7k + 7!-4k = 121k3-10L.H.S.=4(-3) +2 × 1-3 + 1external divisor of AB.Exercises 17cexternally in the ratio 3:1.points A(5, 6), B(11, 2).ordinates of P and Q.*. A, B, C are the points (5, -3), (-4, 9), (14, –15) respectively.Given that ABC is a straight line find the ratios in which (a) Bdivides AC (b) A divides BC and (c) C divides AB.. The line joining the points A(3, 4) and B(7, 6) meets the linejoining C(1, 3) and D(11, 8) at the point P. Given P is the midpointof AB, find its co-ordinates and hence find the ratio CP:PD.V6. The three points A(5, 6), B(-3, 2), C(-8, -5) form a triangle.Find the co-ordinates of the A', the midpoint of BC. If G is a pointon AA' such that AG:GA' = 2:1, find the co-ordinates of G.7. The line joining A(a, b) and B(p, q) is divided into six equalparts by the points P1, P3, P3, P4, Pg. Find the co-ordinates of P,and Pg.8. The two points A(4, 3) and B(8, –6) together with the originO form a triangle OAB. Find the co-ordinates of the point P inwhich the external bisector of AOB meets AB. (Hint: find theAOB is the x-axis.365Shot on 511 liteGionee Dual Camera

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Description: 2. Find the co-ordinates of the midpoint of the line joining thethe co-ordinates of the points which divide AB internally andlengths OA and OB; then the external bisector of anwhich the external bisector of AOB meets AB. (Hint: find thecontaining th

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the co-ordinates of the points which divide AB internally and Exercises 17c A and B are the points (3 51 and (-s -7) respectively. Find externally in the ratio 3:1. 6 the line joining the