The Total solution for NCERT class 6-12
Determine the ratioin which the line 2x + y – 4 = 0 divides the line segment joining the pointsA(2, –2) and B(3, 7).
Consider line 2x + y – 4 = 0 divides line ABjoined by the two points A(2, -2) and B(3, 7) in k : 1 ratio.
Coordinates of point of division can be givenas follows:
x = and y =
Substituting the values of x and y givenequation, i.e. 2x + y – 4 = 0, we have
2( + (– 4 = 0
+ ( = 4
4 + 6k – 2 + 7k = 4(k+1)
-2 + 9k = 0
Or k = 2/9
Hence, the ratio is 2:9.