A bird is flying along the straight line 2y-6x=272y−6x=27. In the same plane, an aeroplane starts to fly in a straight line and passes through the point (4,12)(4,12). Consider the point where aeroplane starts to fly as origin. If the bird and plane collides then enter the answer as 1 and if not then 0. Note: Bird and aeroplane can be considered to be of negligible size.
equation of line through (4,12) and (0,0) ....
slope = 12/4 = 3
y = 3x + b, but (0,0) lies on it, so
y = 3x
where do they intersect?
sub y = 3x into 2y - 6x = 27
2(3x) - 6x = 27
0 = 27 , which is false, so they don't intersect
(the are moving parallel to each other, since the lines have the same slope)