If P(2,2),Q(-2,4) and R(3,4) are the ver...

If `P(2,2),Q(-2,4) and R(3,4)` are the vertices of `DeltaPQR` then the equation of the median through vertex R is

`x+3y+9=0`

`x-3y+9=0`

`x-3y-9=0`

`x+3y-9=0`

Text Solution

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The correct Answer is:

Mid-point of point P(2,2) and Q(-2,4) is
`((2-2)/(2),(2+4)/(2))`
i.e., (0,3)

Required equation o median passing through vertex R is
`y-4=(3-4)/(0-3)(x-3)`
`impliesy-4=(1)/(3)(x-3)`
`implies3y-12=x-3`
`x-3y+9=0`

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