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Write the distance between the lines 4x+...

Write the distance between the lines `4x+3y-11=0\ a n d\ 8x+6y-15=0.`

Text Solution

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`4x+3y-11=0`
`8x+6y-15=0`
`implies4x+3y-15/2=0`
The required distance `=(|(-15)/(2)-(-11)|)/(sqrt(4^(2)+3^(2)))`
`=(|(-15)/(2)-(-11)|)/(5)`
`=(7)/(2xx5)=7/10`units
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