A group of class \( X \) student goes to picnic during summer holidays. There were three differe...

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A group of class \( X \) student goes to picnic during summer holidays. There were three different slides and three friends Rahul, Rohit and Mohit are sliding in the three slides. The position of the three friends shown by A, \( \mathrm{B} \) and \( \mathrm{C} \) in three different slides are given below:

Consider \( O \) as origin, and answer the following questions:
Find the co-ordinates of the point B which divides the line segment \( \mathrm{AC} \) in the ratio \( 1: 2 \) internally.
a. \( \left(4, \frac{13}{3}\right) \)
b. \( \left(\frac{13}{3}, \frac{11}{3}\right) \)
c. \( \left(\frac{10}{3}, \frac{13}{3}\right) \)
d. \( \left(2, \frac{13}{2}\right) \)
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