Question

6. Find the coordinates of the point which divides line segment AB in the ratio 2/3 from A The coordinates of A and B are (3, 2) and (- 2, - 5) respectively.​

Answer 1

Answer:

Let P be the point which divides AB.

Therefore,

P={(m×x2 + n×x1)/2} ; { (m×y2 + n×y1)/2}

P= {(2×(-2) + 3×3 )/2} ; {(2×(-5) + 3×2)/2}

P={(-4+9)/2} ; {(-10+6)/2}

P= (5/2) ; -2

Hence, the coordinates [(5/2), -2 ] divide the line segment AB.