Question

9. If the points P, Q(x, 7) R, S(6, y) in this order divide the line segment joining A(2, p) and B(7, 10) in 5 equal parts, find x, y and p.

Answer 1

Step-by-step explanation:

From question, we have AP = PQ = QR = RS = SB So, Q is the mid-point of A and S Then, x = (2 + 6)/ 2 = 8/2 = 4 7 = (y + p)/ 2 y + p = 14 ….. (1) Now, since S divides QB in the ratio 2: 1 So, p = 14 – 9 = 5 Therefore, x = 4, y = 9 and p = 5Read more on Sarthaks.com - https://www.sarthaks.com/659233/if-the-points-p-in-this-order-divide-the-line-segment-joining-and-10-in-5-equal-parts-find-and