Chapter: Co-ordinate Geometry· Mathematics Part 2 (Geometry)
In what ratio does the point P(2, –5) divide the segment joining A(–3, 5) and B(4, –9)? Complete the following activity.Activity: Let P divide AB in the ratio m : n. By section formula, \(x = \dfrac{mx_2 + nx_1}{m + n}\).\(\therefore 2 = \dfrac{m(\te…
In what ratio does the point P(2, –5) divide the segment joining A(–3, 5) and B(4, –9)? Complete the following activity.
Activity: Let P divide AB in the ratio m : n. By section formula, \(x = \dfrac{mx_2 + nx_1}{m + n}\).
\(\therefore 2 = \dfrac{m(\text{____}) + n(-3)}{m + n}\) \(\therefore 2m + 2n = \text{____}\) \(\therefore \dfrac{m}{n} = \text{____}\)
Check with the y co-ordinate: \(y = \dfrac{m(-9) + n(5)}{m + n} = \text{____}\)