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A (-2, 2, 3) and B(13, -3, 13) are the p...

A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A.
Coordinates of the point P which divides the join of A and B in the ratio `2 : 3` internally are-

A

`(33/5, (-2)/5, 9)`

B

`(4, 0, 7)`

C

`(33/5, (-12)/5, 17/5)`

D

`(20, 0, 35)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A. A point P moves in the space such that 3PA=2PB , then the locus of P is-

    A
    `x^(2)+y^(2)+z^(2)+28x-12y+10z-247=0`
    B
    `x^(2)+y+z^(2)-28x+12y+10z-247=0`
    C
    `x^(2)+y^(2)+z^(2)+28x-12y-10z+247=0`
    D
    `x^(2)+y^(2)+z^(2)-28x+12y-10z+247=0`

  • A (-2, 2, 3) and B(13, -3, 13) are the points. L is a line through A. Direction ratios of the normal to the plane passing through the origin and the points A and B are-

    A
    15, -5, 10
    B
    11, -1, 16
    C
    `3, 13, 2`
    D
    `7, 13, -4`

  • 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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