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‘A’ is a point on the positive X-axis at a distance 3 units form the origion and ‘B’ is a point on the positive y-axis at a distance 4 units from the origion. If 'p' divides AB is the ratio 1:2, then the co-ordinates of ‘P’ are

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$(1, \frac{8}{3})$

$(2, \frac{4}{3})$

$(\frac{8}{3}, 1)$

$(\frac{4}{3}, 2)$

answer is B.

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Detailed Solution

Let A = (3, 0) and B = (0, 4),ratio=1:2

Apply section formula

$P = [\frac{6}{3}, \frac{4}{3}]$

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