JEE Main | 2014Properties of TriangleHard

Question

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

Options

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

Solution

         
S is mid-point of QR
So S =
       
Slope of PS =
Equation of line ⇒ y - (-1) = - (x - 1)
9y + 9 = - 2x + 2 ⇒ 2x + 9y + 7 = 0

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