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If sum of the perpendicular distances of...

If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y - 5 = 0 and 3x - 2y + 7 = 0 is always 10. Show that P must move on a line.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the distance between the parallel lines : l(x + y) + p =0 and l...

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  2. The perpendicluar distance of a st. line from the origin is 5cm and it...

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

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  4. Find the equation of the line which is equidistant from parallel lines...

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  5. Prove that the product of the lengths of the per-pendiculars drawn fro...

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  6. If 5x- 12y+26=0 and 5x- 12y- 65 = 0 are the equations of a pair of opp...

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  7. Find the equations of the bisectors of the angles formed by the follow...

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  8. Find the equations of the bisectors of the angles formed by the follow...

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  9. Find the equations of the bisectors of the angles formed by the follow...

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  10. Find the equations of the bisectors of the angles formed by the follow...

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  11. Find the equations of the bisectors of the angles formed by the follow...

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  12. Prove that the bisectors of the angles formed by pairs of lines are pe...

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  13. Prove that the bisectors of the angles formed by pairs of lines are pe...

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  14. Prove that the bisectors of the angles formed by pairs of lines are pe...

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  15. Find the equations of the bisectors of the angles formed by the follow...

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  16. Find the equations of the bisectors of the angles formed by the follow...

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  17. Find the equations of the bisectors of the internal angles of the tria...

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  18. Find the equations of the bisectors of the internal angles of the tria...

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  19. Find the equations of the straight lines passing through the foot of t...

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  20. Find the new coordinates of the points in each of the following cases ...

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