JEE Main & Advanced
Mathematics
Rectangular Cartesian Coordinates
Question Bank
System of co-ordinates, Distance between two points, Section formulae
question_answer
The points which trisect the line segment joining the points (0, 0) and (9, 12) are [RPET 1986]
A)(3, 4), (6, 8)
B)(4, 3), (6, 8)
C)(4, 3), (8, 6)
D)(3, 4), (8, 6)
Correct Answer:
A
Solution :
Let the point be (x, y) (i) Point B (x, y) divides AD in 1 : 2 \[\therefore \,\,\,\,x=\frac{0+9}{3}=3\] and \[y=\frac{0+12}{3}=4\] (ii) Now point C (x, y) divides AD in 2 : 1, Then \[x=\frac{0+18}{3}=6\] and \[y=\frac{0+24}{3}=8\].