Question

Given the points $A(-3,7)$ and $B(5,-9)$, A point P on directed line segment that partitions in the ratio $\frac{1}{4}$. This ratio divides the segment into how many equal parts?

• A. $3$
• B. $4$
• C. $5$
• D. None of these

Answer 1

The correct option is C $5$

$P$ divides $AB$ in $1:4$

Let $AP=x$ and $PB=4x$

Now $PB=x+x+x+x$

Now there are four equal parts of $PB$ and one part of $AP$

So the line segment is divided into $5$ equal parts.