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Given three points P, Q, R with P (5, 3)...

Given three points P, Q, R with P (5, 3) and R lies on the x-axis. If equation of RQ is `x-2y=2` and PQ is parallel to x-axis, then centroid of `Delta PQR` lies on the line

A

`2x+y-9=0`

B

`x-2y+1=0`

C

`5x-2y=0`

D

`2x-5y=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Given three points P,Q,R with P(5,3) and R lies on the x-axis. If equation of RQ is x-2y=2 and PQ is parallel to the x-axis, then the centroid of DeltaPQR lies on the line:

    A
    `2x+y-9=0`
    B
    `x-2y+1=0`
    C
    `5x-2y=0`
    D
    `2x-5y=0`

  • The normals at three points P,Q and R of the parabola y^2=4ax meet at (h,k). The centroid of the triangle PQR lies on

    A
    x=0
    B
    y=0
    C
    x=-a
    D
    y=a

  • If the equations of three sides of a triangle are x+y=1, 3x + 5y = 2 and x - y = 0 then the orthocentre of the triangle lies on the line/lines

    A
    `5x-3y=1`
    B
    `5y-3x=1`
    C
    `2x-3y=1`
    D
    `5x-3y=2`

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