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Prove that the lines x+3y+2=0 and 3x-y=0...

Prove that the lines `x+3y+2=0` and `3x-y=0` are perpendicular.

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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the equation of a line passes through the point (-2,1) and perpen...

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  2. Prove that the lines 2x+5y=8 and 4x+10y-1=0 are parallel.

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  3. Prove that the lines x+3y+2=0 and 3x-y=0 are perpendicular.

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  4. Find the angle between the following pairs of lines : (i) y=sqrt(3)x+...

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  5. Find the slope of a line perpendicular to the line 3x+5y=8.

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  6. If a line passes through the points (a,1) and (3,-5), meets the line 3...

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  7. Find the point of intersection of the following pair of lines : (i) ...

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  8. (i) Find the value of 'a' if the lines 3x-2y+8=0, 2x+y+3=0 and ax+3y+1...

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  9. Find the equation of line joining origin to the point of intersection ...

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  10. Find the equation of a line passing through origin and parallel to the...

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  11. Find the equation of a line passing through origin and parallel to the...

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  12. Find the equation of a line passing through the point (-1,-2) and para...

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  13. Find the equation of a line passing through the intersection of the li...

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  14. Find the equation of a line parallel to the line x cos alpha+ y sin al...

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  15. Find the equation of a line passing through the point (-1,0) and perpe...

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  16. Find the equation of perpendicular bisector of line segment joining th...

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  17. Find the equation of a line passing through the point of intersection ...

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  18. Find the length of perpendicular drawn from point (2,-1) to the line 3...

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  19. Find the length of perpendicular drawn from origin to the line 12x-5y=...

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  20. Find the length of perpendicular from the point (-1,-2) to the line x=...

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