Question
Question: The equation of the diagonal, through the origin, of the quadrilateral formed by the lines x = 0, y...
The equation of the diagonal, through the origin, of the
quadrilateral formed by the lines x = 0, y = 0, x + y = 1 and 6x + y = 3 is given by
A
3x –y = 0
B
3x-2y = 0
C
x – y = 0
D
3x – 4y = 0
Answer
3x-2y = 0
Explanation
Solution
(0, 0) is the one end of the diagonal. The intersection of the other two lines, x + y = 1 and 6x + y = 3 is (2/5, 3/5) which is the other end of the diagonal. The equation of the line that passes through these two points is 3x-2y = 0