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Let C be the entroid of the triangle wi...

Let C be the entroid of the triangle with vertices (3, -1) and ( 2, 4). Let P be the point of intersection of the lines `x+3y-1=0` and `3x-y+1=0`. Then the line passing through the points C and P also passes through the poing :

A

`(-9,-7)`

B

`(-9,-6)`

C

`(7,6)`

D

`(9,7)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The equation of the circle having centre (0, 0) and passing through the point of intersection of the lines 4x + 3y = 2 and x + 2y = 3 is

    A
    `x^(2) + y^(2) = sqrt(5)`
    B
    `x^(2) + y^(2) = 5`
    C
    `x^(2) + y^(2) = 4`
    D
    `x^(2) + y^(2) = 2`

  • Find the equation of a line passing through point of intersection of lines x+2y+5 =0 and 3x+4y+1=0 and also passing through point (3,2) ?

    A
    `2x+3y-5=0`
    B
    ` 3x+2y-13=0`
    C
    `x+3y+13=0`
    D
    `3x - 2y -7=0`

  • If the line ky=x+1 passes through the point on intersection of the two lines 2x-3y+5=0 and 3x+2y+1=0, then :k=

    A
    -1
    B
    0
    C
    1
    D
    none of these

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