Coordinates Geometry | Practice set 5.2 Q 3

Coordinates Geometry | Practice set 5.2 Q 3

Find the ratio in which point T(–1, 6)divides the line segment joining the points P(–3, 10) and Q(6, –8)

In this video, we'll find the ratio in which point T(–1, 6) divides the line segment joining the points P(–3, 10) and Q(6, –8). This problem is a classic example of section formula in coordinate geometry. We'll use the section formula to find the ratio in which point T divides the line segment PQ. The section formula states that if a point T divides a line segment PQ in the ratio m:n, then the coordinates of T are ((mx2 + nx1)/(m+n), (my2 + ny1)/(m+n)), where (x1, y1) and (x2, y2) are the coordinates of points P and Q respectively. By applying this formula, we'll find the required ratio. This video is helpful for students of class 10, 11, and 12, and for those who are preparing for competitive exams like JEE, NEET, and Board exams.