Q. 234.9( 8 Votes )
In what ratio is the line segment joining the points A(-4, 2) and B(8, 3) divided by the y-axis? Also, find the point of intersection.
Answer :
Let the point which cuts the join of A(-4, 2) and B(8, 3) in the ratio k : 1 be P(0, y)
Formula: If k : 1 is the ratio in which the join of two points are divided by another point (x, y), then
Taking for the x co-ordinate,
⇒ 8k = 4
Therefore, 
Therefore, the ratio in which the line segment joining the points A(-4, 2) and B(8, 3) divided by the y-axis is 1 : 2 and the point of intersection is 
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