Q12 of 184 Page 10

If the middle point of the line segment joining (3,4) and (k,7) is (x,y) and 2x+2y+1=0, find the value of k.


Let P be the midpoint of the line segment joining (3, 4) and (k, 7)


So, the coordinates of P are:




Again,


2x + 2y + 1 = 0



⇒ 3 + k + 11 + 1 = 0


⇒ k + 15 = 0


⇒ k = -15


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