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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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To find the equation of the line that is equidistant from the parallel lines \(9x + 6y - 7 = 0\) and \(3x + 2y + 6 = 0\), we can follow these steps: ### Step 1: Identify the equations of the parallel lines The given equations are: 1. \(9x + 6y - 7 = 0\) 2. \(3x + 2y + 6 = 0\) ### Step 2: Rewrite the equations in slope-intercept form ...
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NCERT-STRAIGHT LINES-MISCELLANEOUS EXERCISE
  1. A person standing at the junction (crossing) of two straight paths re...

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  2. Find equation of the line which is equidistant from parallel lines 9x...

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

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  4. Prove that the product of the lengths of the perpendiculars drawn fro...

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  5. A ray of light passing through the point (1, 2) reflects on the x–axi...

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  6. Find the direction in which a straight line must be drawn through the...

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  7. The hypotenuse of a right angled triangle has its ends at the points (...

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  8. In what ratio, the line joining (1, -1)and (5, 7)is divided by the lin...

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

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  10. If three lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3are c...

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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 intersecti...

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  13. Show that the equation of the passing through the origin and making a...

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

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  15. If the lines y=3x+1and 2y=x+3are equally inclined to the liney=mx+4, ...

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  16. Find the equation of a line drawn perpendicular to the line x/4+y/6=1t...

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  17. Find the equation of the line parallel to yaxis and drawn through the...

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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 the yaxis whose distance from the line x/3+y/4=...

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  20. Find the equations of the lines, which cutoff intercepts on the axes ...

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