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The vertices of trianglePQR are P(2,1),Q...

The vertices of `trianglePQR` are P(2,1),Q(-2,3) and R(4,5). Find the equation of the median through the vertex R.

Text Solution

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The correct Answer is:
`3x - 4y + 8 = 0 `
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Knowledge Check

  • Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1, -1) and parallel to PS is :

    A
    `2x-9y-7=0`
    B
    `2x-9y-11=0`
    C
    `2x+9y-11=0`
    D
    `2x+9y+7=0`

  • Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) and R(7, 3). The equation of the line passing through (1, -1) and parallel to PS is :

    A
    `2x+9y+7=0`
    B
    `4x+7y+3=0`
    C
    `2x-9y-11=0`
    D
    `4x-7y-11=0`

  • The base vertices of an isosceles triangle P Q R are Q=(1,3) and R=(-2,7) . The vertex P can be

    A
    (1,6)
    B
    `((1)/(2), 5)`
    C
    `((5)/(6), 6)`
    D
    none of these

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    In a triangle ABC with vertices A(2,3) , B (4,-1) and C (1,2) . Find the length of the altitude from the vertex A .

    Three cosecutive vertices of a parallelogram are A(1,2) ,B(2,3)and C(8,5) . Find the fourth vertex.

    In the triangle ABC with vertices A (2, 3) , B (4, -1) " and " C (1, 2) , find the equation and length of altitude from the vertex A.

    Three vertices of a parallelogram ABCD are A(3,-1,2) ,B(1,2,-4) and C(-1,1,2) .find the co-ordinates of the fourth vertex ?

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