Question

The coordinates of the point P dividing the line segment joining the points $A(1,3)$ and $B(4,6)$ in the ratio $2:1$ are:

• A. $(2,4)$
• B. $(3,5)$
• C. $(4,2)$
• D. $(5,3)$

Answer 1

Answer: (B)

$(3,5)$

Given,

$A(1,3),B(4,6)$

ratio $2:1$

coordinates of $P=(\frac{2\times 4+1\times 1}{2+1},\frac{2\times 6+1\times 3}{2+1})$

$=(\frac{8+1}{3},\frac{12+3}{3})$

$=(\frac{9}{3},\frac{15}{3})=(3,5)$