Find the ratio in which the point P(x, 2) divides the join of A(12, 5)

1.	Find the ratio in which the point P(x, 2) divides the join of A(12, 5) and B(4, -3).
Answer» Correct Answer - `3:5` Let the required ratio be k : 1. Then, `(-3k + 5)/(k+1) = 2 rArr -3k +5 = 2k + 2 rArr 5k = 3 rArr k = (3)/(5)` Required ratio ` = ((3)/(5) : 1) = 3 : 5`

Discussion

Find the equation of a line , whose y-intercept is `-5` and passes through point A (-3,2) .
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Find the lengths of the medians AD and BE of `Delta ABC` whose vertices are A(7, -3), B(5, 3) and C(3, -1).
Find the point on x-axis which is equidistant from points A(-1, 0) and B(5, 0).