The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is ____________________(a) (4, 5)(b) (6, 8)(c) (7, 8)(d) (8, 6)I have been asked this question by my school teacher while I was bunking the class.I need to ask this question from Slope of a Line in portion Straight Lines of Mathematics – Class 11

The coordinates of a point dividing the line segment joining (1, 2) an

1.	The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is ____________________(a) (4, 5)(b) (6, 8)(c) (7, 8)(d) (8, 6)I have been asked this question by my school teacher while I was bunking the class.I need to ask this question from Slope of a Line in portion Straight Lines of Mathematics – Class 11
Answer» Right choice is (c) (7, 8) The explanation: The coordinates of a point DIVIDING the LINE segment joining (x1, y1) and (x2, Y2) externally in the ratio m: n is \((\frac{mx_2-nx_1}{m-n},\frac{my_2-ny_1}{m-n})\). So, the coordinates of a point dividing the line segment joining (1, 2) and (4, 5) externally in the ratio 2:1 is \((\frac{24-11}{2-1},\frac{25-12}{2-1})\) = (7, 8).

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