Question

the co-ordinates of the point a and b are (3,-5) and (1,-2) respectively. then the ordinate of a point c on the line segment ab, such that ac/ab=4/7 is​

Answer 1

Answer:

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Answer 2

Answer:

From the above condition, we can observe that the point B divides the line segment joining AC in 1;3 ratio, or AC:AB=3:1 or AB:BC=2:1. Let the coordinates of C be (x,y). Therefore,

B(−2,4)=(

3

1(x)+2(3)

,

3

1(y)+2(2)

)

Or

3

6+x

=−2 or 6+x=−6 or x=−12. Similarly

3

4+y

=4 or 4+y=12 or y=8.

Hence C(x,y)=(−12,8)