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Deepak Bora
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Find the coordinates of the point which is three-fourth of the way from A (3, 1) to B ( – 2, 5).

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An Important Question of M.L Aggarwal book of class 10 Based on Section Formula Chapter for ICSE BOARD.
You have to find the coordinates of the point which is three-fourth of the way from A and B.
This is the Question Number 06, Exercise 11 of M.L Aggarwal.

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  1. ML Aggarwal Sol Class 10 Maths chapter 11-3

    Let P be the point which is three-fourth of the way from A(3,1) to B(-2,5).

    AP/AB = 3/ 4

    AB = AP+PB

    AP/AB = AP/(AP+PB) = 3/4

    4AP = 3AP+3PB

    4AP-3AP = 3PB

    AP = 3PB

    AP/PB = 3/1

    The ratio m:n = 3:1

    x1 = 3 , y1 = 1 , x2 = -2, y2 = 5

    By Section formula x = (mx2+nx1)/(m+n)

    x = (3×-2+1×3)/(3+1)

    x = (-6+3)/4

    x = -3/4

    By Section formula y = (my2+ny1)/(m+n)

    y = (3×5+1×1)/(3+1)

    y = (15+1)/4

    y = 16/4

    y = 4

    Hence the co-ordinates of P are (-3/4, 4).

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