Answer :

Given: points A(a, b, c) and B(-1, -c, -b)


To find: the ratio in which the line joining given points is divided by the xy-plane


Formula used:


Section Formula:


A line AB is divided by C in m:n where A(x, y, z) and B(a, b, c).



The coordinates of C is given by,



z coordinate is always 0 on xy-plane


Let Point C(x, y, 0), and C divides AB in ratio k: 1


Therefore, m = k and n = 1


A(a, b, c) and B(-1, -c, -b)



Coordinates of C using section formula:




On comparing:



-bk + c = 0(k + 1)


-bk = -c



Hence, C divides AB internally in ratio c: b

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