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In what ratio does the point P(-4,6) divide the line segment joining the point A(-6,10) and B (3,8) ?

Posted by Bunny . 2 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Preeti Dabral 2 years, 4 months ago

Let (-4, 6) divide AB internally in the ratio k:1. Using the section formula, we get
$( - 4,6 ) = \left( \frac { 3 k - 6 } { k + 1 } , \frac { - 8 k + 10 } { k + 1 } \right)$
So, $- 4 = \frac { 3 k - 6 } { k + 1 }$
i.e., -4k - 4 = 3k - 6
i.e., 7k = 2
i.e., k:1 = 2:7
The same can be checked for the y-coordinate also.
Therefore, the ratio in which the point (-4,6) divides the line segment AB is 2: 7.

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