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
Jim G.
Sep 20, 2017

RS

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)

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