1.

Prove that the line `x+2y-9=0 and 2x+4y+5=0` are parallel.A. 2B. `-1`C. 1D. 0

Answer» Correct Answer - A
Given equation of lines are
`x+2y-9=0 implies 2y=-x+9`
`implies y=-1/2x+9/2` ...(1)
and `kx+4y+5=0 implies 4y=-kx-5`
`implies y=(-k)/4 x- 5/4` ...(2)
Since line (1) and line (2) are parallel therefore their slopes are equal.
`(-1)/2=(-k)/4 implies k=2`


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