Ex 7.2, 8 - Chapter 7 Class 10 Coordinate Geometry

Transcript

Ex 7.2 , 8 If A and B are (– 2, – 2) and (2, – 4), respectively, find the coordinates of P such that AP = 3/7AB and P lies on the line segment AB. Let the co−ordinates of point P be P(x, y) It is given that AP = 3/7(AB) AP = 3/7(AP + PB) 7AP = 3AP + 3PB 7AP − 3AP = 3PB 4AP = 3PB 𝐴𝑃/𝑃𝐵 = 3/4 Hence the point P divides AB in the ratio of 3:4 Finding coordinate of point P Using section formula m1 = 3 , m2 = 4 x1 = 2 , x2 = 2 y1 = −2 , y2 = −4 Hence, the co−ordinate of P are P(x, y) = P((−2)/7, (−20)/7)