In what ratio does the y-axis divide the line segment joining the points (-3, -4) and (1, 2)?
3 ∶ 1
A point on the y-axis has x-coordinate zero; use the internal section formula.
\(0=\frac{m(1)+n(-3)}{m+n}\Rightarrow m=3n\Rightarrow m:n=3:1\)
Important Questions from Sectional Formula
If the point C(1, 1) divides the line segment joining A(-2, 7) and B in the ratio 3 ∶ 2 internally, the coordinates of B are
What is the ratio in which the point \({\rm{C}}\left( { - \frac{2}{7},{\rm{\;}} - \frac{{20}}{7}} \right)\) divides the line joining the points A(-2, -2) and B(2, -4)?
The line x + y = 4 cuts the line joining P(-1, 1) and Q(5, 7) at R. What is PR ∶ RQ equal to ?
Let \(P\) and \(Q\) be the points on the positive \(x\)-axis and positive \(y\)-axis respectively. A point \(N(2, 1)\) divides the line segment \(PQ\) in the ratio \(1 : 2\). What is the equation of the line?
Find the coordinates of the mid−point of the line segment joining the points A(−2, −5) and B(3, −1).
