Q31 of 77 Page 7


Determine the ratio in which y – x + 2 = 0 divides the line joining (3, -1) and(8, 9).

2: 3
SOLUTION:

Let the required ratio be k : 1.

Then coordinates of the point of division is .
This point lies on the line y – x + 2 = 0.

⇒ 9k -1 - 8k -3 +2(k + 1) = 0.
⇒ 3k -2 = 0

∴ The required ratio is 2: 3.

More from this chapter

All 77 →
29
Coordinates of A and B are (-3, a) and (1, a + 4). The mid-point of AB is (-1,1). Find the value of a.
 30
Find a point on the line through A(5, -4) and B(-3, 2), that is, twice as farfrom A as from B.
 32
If the points (2, 1) and (1, -2) are equidistant from the point (x, y), showthat x + 3y = 0.
 33
Find the ratio in which the point (2, y) divides the join of (-4, 3) and (6, 3)and hence find the value of y.