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 :

 

  • Option 1)

    4x+7y+3=0

  • Option 2)

    2x-9y-11=0

  • Option 3)

    4x-7y-11=0

  • Option 4)

    2x+9y+7=0

 

Answers (2)

As learnt in

Slope – point from of a straight line -

y-y_{1}=m(x-x_{1})

- wherein

m\rightarrow slope

\left ( x_{1},y_{1} \right )\rightarrow point through which line passes

 MId point of OR is (\frac{13}{2},1)

Slope of PS = \frac{-1}{\frac{9}{2}}=\frac{-2}{9}

and line passes through (1, -1)

\frac{y+1}{x-1}=\frac{-2}{9}

2x+9y+7 = 0


Option 1)

4x+7y+3=0

This option is incorrect.

Option 2)

2x-9y-11=0

This option is incorrect.

Option 3)

4x-7y-11=0

This option is incorrect.

Option 4)

2x+9y+7=0

This option is correct.

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