Question 21
Question: Calculate the ratio in which the line segment joining (3, 4) and (-2, 1) is divided by the y-axis. [2 Mark]
Answer: 
On the y-axis, the abscissa is 0. Let the point (0, y) divide the line joining A (3, 4) and (-2, 1) in the ratio k: 1. Then, using section formula, we have
The required ratio is k: 1
Question 22
Question: In what ratio the line joining the points (4, 2) and (3, -5) is divided by the x-axis? Also, find the co-ordinates of the point of division. [2 Mark]
Answer: 
On the x-axis, y-co-ordinate is zero.
Let P(x, 0) be the point which divides the line joining (4, 2) and (3, -5) in the ratio k: 1.
Using section formula, we have
The required ratio is k: 1=
= 2:5
Question 23
Question: The line joining the points A (-3, -10) and B (-2, 6) is divided by the point P such that
. Find the co-ordinates of P [3 Mark]
Answer: 
P divides the line segment AB in the ratio 4:1.
Let (x, y) be the co-ordinates of P.
Question 24
Question: P is a point on the line joining A (4, 3) and B (-2, -6) such that 5AP = 2BP. Find the co-ordinates of P. [2 Mark]
Answer: 
Let the co-ordinates of P be (x, y).
Using Section Formula, we have
Question 25
Question: In what ratio does the point (a, 6) divide the join of (-4, 3) and (2, 8)? Also, find the value of a. [2 Mark]
Answer: Let P (a,6) divide the line segment A(-4,3) and B(2,8) in the ratio 
:1. Then, taking the y-co-ordinate of P, we have
x-co-ordinate of P is given by
