question_answer

If Joy has to post a flag at l/4th distance from green flag, in the line segment joining the green and red flags, then where should he post his flag?

A) (3.5,24)

B) (0.5,12.5)

C) (2.25,8.5)

D) (25,20)

Correct Answer: A

Solution :

Let the point at which Joy post his flag be B(x, y).

Then, \[x=\frac{1\times 8+3\times 2}{1+3}\],      \[y=\frac{1\times 20+3\times 25}{1+3}\]

\[x=\frac{14}{4}=3.5,\] \[y=\frac{95}{4}=23.75\approx 24\]

Hence, B(x, y) = (5.22 24)