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Divide the join of points P(2, 5) and Q(...

Divide the join of points P(2, 5) and Q(-7, 4) in the ratio 1 : 2
internally

Text Solution

Verified by Experts

Let R be the point which divides PQ internally in the ratio 1 : 2 Then coordinates of R are
`x = (1 xx (-7) + 2 xx 2)/(1 + 2) = (-3)/3 = -1 , y = (1 xx 4 + 2 xx 5)/(1 + 2) = 14/3`

i.e. the required point is `(-1, 14.3)`
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Knowledge Check

  • The coordinates of the point which divides the join of the points (3,5,-7) and (-2, 1, 8) in the ratio 3:2 are-

    A
    `0 , (13)/(5), 2 `
    B
    `(2,0, -(15)/(2))`
    C
    `(-2 , (14)/(5) , 0)`
    D
    `(0 ,2 , (13)/(5))`

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