Question

the line segment joining points (-3,-4) and (1,2) is divided by y -axis in the ratio:​

Answer 1

Step-by-step explanation:

Let us consider that the point A(x,y) divides the line segment joining the points (1,2) and (−2,3) in the ratio k:1

So the coordinates of point (x,y) by section formula (k+1−2k+1,k+13k+2)

Since the point A also lie on the line 3x+4y=7

Therefore,

3(k+1−2k+1)+4(k+13k+2)=7

3(k+1−2k+1)+4(k+13k+2)−7=0

3(−2k+1)+4(3k+2)−7(k+1)=0

−6k+3+12k+8−7k−7=0

−k+4=0

k=4

Therefore, the line segment joining the points (1,2),(−2,3) is divided by the by the line 3x+4y=7 internally in the ratio of 4:1.