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 

(A)  2x - 9y -  7 = 0

(B) 2x - 9y  - 11 = 0

(C)  2x +  9y + 11 = 0

(D)  2x + 9 + 7 = 0

Answer 1

Correct option (D)  2x + 9 + 7 = 0

Explanation :

 

See Fig. P = (2, 2) and S = (13/2,1).

Therefore, the slope of the median PS is

2 -1/2 - (13/2) = -2/9

Hence, the equation of the line through the point (1, 1) and having slope -2/9 is

y + 1 = -2/9(x - 1)

2x + 9y + 7 = 0