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The equations of the sides AB and CA of ...

The equations of the sides AB and CA of a `DeltaABC` are `x+2y=0` and `x-y=3` respectively. Given a fixed point P(2, 3).
Q. Let the equation of BC is `x+py=q`. Then the value of `(p+q)` if P be the centroid of the `DeltaABC` is :

A

14

B

-14

C

22

D

-22

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The correct Answer is:
D
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Knowledge Check

  • The equations of the sides AB and CA of a DeltaABC are x+2y=0 and x-y=3 respectively. Given a fixed point P(2, 3). Q. If P be orthocentre of DeltaABC then equation of side BC is :

    A
    `y+5=0`
    B
    `y-5=0`
    C
    `5y+1=0`
    D
    `5y-1=0`

  • The equations of perpendicular bisectors of the sides AB and AC of a DeltaABC are x-y+5=0 and x+2y=0 , respectively. If the point A is (1,-2) the equation of the line BC is

    A
    `23x+14-40=0`
    B
    `23+14y+40=0`
    C
    `14x+23y-40=0`
    D
    `14x+23y+40=0`

  • The equations of perpendicular bisectors of the sides AB and AC of a DeltaABC are x - y + 5 = 0 and x+2y = 0 , respectively. If the point A is (1, - 2) the equation of the line BC is

    A
    `23x + 14y - 40`
    B
    `23x + 14y + 40 =0`
    C
    `14x + 23y - 40 = 0`
    D
    `14x + 23y + 40=0`

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