Question

The point P which divides the line segment joining the points A(2, 5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant

(a) I (b) II (c) III (d) IV

Answer 1

The point P which divides the line segment joining the points A(2, 5) and B(5, 2) in the ratio 2 : 3

Coordinates of point P = $\frac{m{x}_2+n{x}_1}{m+n},\frac{m{y}_2+n{y}_1}{m+n}$

P = $\frac{(2\times 5)+(3\times 2)}{2+3},\frac{(2\times 2)+(3\times 5)}{2+3}$

P = $\frac{16}{5},\frac{19}{5}$

therefore, P in X-axis is $\frac{16}{5}$ and and in Y axis is $\frac{19}{5}$
lies in the I quadrant