The coordinates of a point dividing the line segment joining (1, 2) and (4, 5) internally in the ratio 2:1 is ____________________(a) (3, 4)(b) (4, 3)(c) (5, 4)(d) (5, 3)The question was posed to me in final exam.This question is from Slope of a Line topic in section 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) internally in the ratio 2:1 is ____________________(a) (3, 4)(b) (4, 3)(c) (5, 4)(d) (5, 3)The question was posed to me in final exam.This question is from Slope of a Line topic in section Straight Lines of Mathematics – Class 11
Answer» The correct option is (a) (3, 4) EXPLANATION: The coordinates of a point DIVIDING the line segment JOINING (x1, y1) internally 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) internally in the ratio 2:1 is \((\frac{24+11}{2+1}, \frac{25+12}{2+1})\) = (3, 4).

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