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  • Find the coordinates of the points which divide the line segment joining A(– 2, 2) and B(2, 8) into four equal parts.

9.   Find the coordinates of the points which divide the line segment joining A (– 2, 2) and B(2, 8) into four equal parts.

Answers (1)

best_answer

From the figure:

lin eratio

Points C, D, and E divide the line segment AB into four equal parts.

Now, with the midpoint formula, we can find the coordinates of Points C, D, and E.

Here point D divides the line segment AB into two equal parts hence D is the midpoint of A and B

D(x_{2},y_{2})= \left (\frac{-2+2}{2} , \frac{2+8}{2} \right )

D(x_{2},y_{2})= \left (0 , 5 \right )

Now, point C divides the line segment AD into two equal parts hence

C(x_{1},y_{1})= \left (\frac{-2+0}{2} , \frac{2+5}{2} \right )

C(x_{2},y_{2})= \left (-1 , \frac{7}{2} \right )

Also, point E divides the line segment DB into two equal parts hence

E(x_{1},y_{1})= \left (\frac{2+0}{2} , \frac{8+5}{2} \right )

E(x_{2},y_{2})= \left (1 , \frac{13}{2} \right )

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Divya Prakash Singh

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