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Find equation of the line which is equidistant from parallel lines `9x" "+" "6y" "" "7" "=" "0` and `3x" "+" "2y" "+6" "=" "0` .

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Given lines are
`9x+6y-7= 0.....(1)`
` 3x+2y+6= 0....(2)`
Let p(h,k) be the arbitrary point that is equidistant from lines (1) and (2),
the perpendicular distance of p(h,k) from line (1) is given by
`d1​=(​∣9h+6k−7∣​)/((9)^6+(12)^2)`
`=(​∣9h+6k−7∣)/sqrt(117)`
​`=(​∣9h+6k−7∣​)/(3sqrt(13))`
...
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NCERT ENGLISH-STRAIGHT LINES-MISCELLANEOUS EXERCISE
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  2. Find equation of the line which is equidistant from parallel lines ...

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  3. If sum of the perpendicular distances of a variable point P (x , y)fr...

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  9. Find the distance of the line 4x+7y+5=0 from the point (1,""""2) al...

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  10. Find the conditions that the straight lines y=m1x+c1, y=m2x+c2a n d\ y...

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  11. Find the equation of the lines through the point (3, 2) which make an...

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  12. Find the equation of the line passing through the point of intersectio...

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  13. Show that the equation of the straight line through the origin angle v...

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  14. Find the image of the point (3,8) with respect to the line x+3y=7 assu...

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  15. If the lines y = 3x +1 and 2y = x +3 are equally inclined to the line ...

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  16. Find the equation of a line drawn perpendicular to the line x/4+y/6...

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  18. Find perpendicular distance from the origin of the line joining the p...

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  19. What are the points on y-axis whose distance from the line x/3+y/4=1\ ...

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