Question

The coordinates of the point which divides the line segment joining points $A(0,0)$ and $B(9,12)$ in the ratio $1:2$ are

• A. $(-3,4)$
• B. $(3,4)$
• C. $(3,-4)$
• D. none of these

Answer 1

The correct option is B $(3,4)$

Given$A(0,0)$and$B(9,12)$

The coordinates of the point which divides the line segment joining points $(a,b)$and $(c,d)$is$(\frac{mc+na}{m+n},\frac{md+nb}{m+n})$

given ratio is $1:2$

required coordinates are $(\frac{0\times 2+1\times 9}{1+2},\frac{0\times 2+1\times 12}{1+2})=(3,4)$