In what ratio does the point (5, 4) divide the line segment joining the points (2, 1) and (7, 6) ?
Section Formula
122 Likes

Question

In what ratio does the point (5, 4) divide the line segment joining the points (2, 1) and (7, 6) ?

KnowledgeBoat · Accepted Answer

Let the point P(5, 4) divide the line segment joining the points (2, 1), (7, 6) in the ratio m₁ : m₂. By Section-formula, we get the coordinates of point P as: Putting values in x coordinate of above equation we get, According to question, the x-coordinate of P = 5. Comparing we get, Hence, the ratio in which point (5, 4) divides the line segment is 3 : 2.

Mathematics

In what ratio does the point (5, 4) divide the line segment joining the points (2, 1) and (7, 6) ?

Section Formula

Related Questions

The point P(-4, 1) divides the line segment joining the points A(2, -2) and B in the ratio 3 : 5. Find the point B.

In what ratio does the point (-4, b) divide the line segment joining the points P(2, -2), Q(-14, 6)? Hence, find the value of b.

The line segment joining A(2, 3) and B(6, -5) is intersected by x-axis at a point K. Write down the ordinate of the point K. Hence, find the ratio in which K divides AB. Also find the coordinates of point K.