Math, asked by prashant2619, 1 year ago

6. Find the co-ordinates of the point which divides
externally the join of A(-4,0) and B(0,8) in the ratio
3:4.

Answers

Answered by sk940178
0

Answer:

Co-ordinates of the point which divides externally are (-16, -24)

Step-by-step explanation:

Given:

m:n = 3:4

Section formula for externally division:

={{[\frac {mx{_2} - nx{_1}}{m-n}], [\frac {my{_2} - ny{_1}}{m-n}]}}

={{[\frac {3 \times 0 - 4 \times -4}{3 - 4}], [\frac {3\times 8 - 4 \times 0}{3 - 4}]}}

= {{[\frac { 0 + 16}{-1}], [\frac{24 - 0}{-1}]}

= =[\frac {16}{-1}, \frac{24}{-1}]

= {-16, -24}

Co-ordinates of the point which divides externally are (-16, -24)

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