(3)The graphical representation of the pair of equations x+2y-4=0 and
2x+4y-12=0 is
(a)intersecting lines (b)parallel lines (C) coincident lines (d) all the above
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Given: two equations
- x + 2y - 4 = 0
- 2x + 4y - 12 = 0
To find: check the given options
Solution:
The given lines are
- x + 2y = 4 ... ...(1)
- 2x + 4y = 12 or, x + 2y = 6 ... ...(2)
We see that the left hand side of both (1) and (2) are the same, but the constant term varies.
Thus the given lines are parallel to each other.
Answer: Option (b) parallel lines
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