Question

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 findx,y,p

Answer 1

Given P, Q, R and S divide the line segment joining the points A(1, 2) and B(6, 7) in 5 equal parts. P divides AB in the ratio is 1:4Coordinates of P using section formula,using Section Formula  given by m x 2 + n x 1 m + n , m y 2 + n y 1 m + n   .  Here m = 1 and n = 4, x1 = 6, x2 = 1, y1 = 7, y2 = 2 x = 1(6)+4(1) 1+4 = 2, y =  1(7)+4(2) 1+4 = 3.Coordinates of P  (2,3). Q divides AB in the ratio  is 2:3 Coordinates of Q x = 2(6)+3(1) 2+3 = 3, y =  2(7)+3(2) 2+3 = 4Coordinates of Q are (3,4) R divides AB in the ratio  is 3:2 Coordinates of R are x = 3(6)+2(1) 3+2 = 4 , y =  3(7)+2(2) 3+2 = 5Coordinates of R are (4,5)

Answer 2

Hope it helps you dear