find the value of 'a' for which the lines x=1 y=2 and ax+2y-6=0 are concurrent... no links plzz
Dear Student,
​Since the given lines are concurrent, they all pass through a single point. The given lines are:
x = 1 ...(i)
y = 2 ...(ii)
ax + 2y - 6 = 0 ...(iii)
Since they pass through a common point, this point must be (1,2), which is the point of intersection of the lines x = 1 and y = 2. Substituting x = 1 and y = 2 in equation (iii), we get:
a(1) + 2(2) - 6 = 0 or a = 6 - 4 = 2
​Since the given lines are concurrent, they all pass through a single point. The given lines are:
x = 1 ...(i)
y = 2 ...(ii)
ax + 2y - 6 = 0 ...(iii)
Since they pass through a common point, this point must be (1,2), which is the point of intersection of the lines x = 1 and y = 2. Substituting x = 1 and y = 2 in equation (iii), we get:
a(1) + 2(2) - 6 = 0 or a = 6 - 4 = 2