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15. The distance between the lines 3x + 4y = 9 and 6x + 8y = 15 IS: (c) 6 (d) 2 10
A. `3/2`
B. `3/10`
C. 6
D. 5

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Correct Answer - B
Given lines, `L_(1)=3x+4y-9=0`
`L_(2)=6x+8y-15=0 implies 3x+4y-15/2 =0`.
Observe that the coefficients of x and y are same.
`:. L_(1)` and `L_(2)` are parallel lines.
Distance between parallel lines `=(|c_(1)-c_(2)|)/sqrt(a^(2)+b^(2))`
`=(|-9+15/2|)/sqrt(3^(2)+4^(2))`
`= (|(-18+15)/2|)/sqrt(25)=3/10`.

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