Q,R and S are point on the line joining the point P and T. #P(a,x), T(b,y)# such that #TQ=QR=RS=SP#. Then the co-ordinates #((5a + 3b)/8,(5x+3y)/8)# is the mid-point of which segment?
1 Answer
Sep 20, 2017
Explanation:
#"using the "color(blue)"section formula"#
#"given a line sectioned in the ratio m:n "#
#"then the coordinates of a point are"#
#((mx_1+nx_2)/(m+n)),((my_1+ny_2)/(m+n))#
#"here "m:n=5:3#
#"the section is therefore "#
#"T to mid-point of RS: mid-point of RS to P"#
#="ratio "5:3#
#(x_1,y_1)=(a,x)" and "(x_2,y_2)=(b,y)#
#rArr((5a+3b)/8,(5x+3y)/8)#
