Question

Point A,B,C,D divide the line segment joining the point (5,-10) and the origin in five equal parts .Find the coordinates of B and D.

Answer 1

this is the answer as i had the same doubt a few days ago!

Answer 2

B(2,-4) and D(4,-8)

Step-by-step explanation:

The line segment joining the point P(5,-10) and the origin O(0,0) is divided by four points a, B, C, and D in five equal parts.

So, point B divides the line (OP) in a 2 : 3 ratio.

Therefore, the position of point B will be given by $(\frac{2 \times 5 + 3 \times 0}{2 + 3}, \frac{2\times (-10) + 3 \times 0}{2 + 3}) = (2,-4)$.

Again, point D divides the line OP in a 4 : 1 ratio.

Therefore, the coordinates of point D will be $(\frac{4 \times 5 + 1 \times 0}{4 + 1}, \frac{4\times (-10) + 1 \times 0}{4 + 1}) = (4,-8)$ (Answer)