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Find the equations of straight lines which are perpendicular to the line 3x+4y-6=0 and are at a distance of 4 units from (2,1).

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FULL MARKS-TWO DIMENSIONAL ANALYTICAL GEOMETRY -EXERCISE - 6.3
  1. Show that the lines are 3x+2y+9=0 and 12x+8y-15=0 are parallel lines.

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  2. Find the equation of the straight line parallel to 5x-4y+3=0 and havin...

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  3. Find the distance between the line 4x+3y+4=0 and a point (i) (-2, 4) (...

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  4. Write the equation of the lines through the point (1,-1) (i) Paralle...

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  5. If (-4,7) is one vertex of a rhombus and if the equation of one diagon...

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  6. Find the equation of the lines passing through the point of intersecti...

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  7. Find the equations of two straight lines which are parallel to the lin...

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  8. Find the equations of straight lines which are perpendicular to the li...

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  9. Find the equation of a straight line parallel to 2x+3y=10 and which is...

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  10. Find the length of the perpendicular and the co-ordinates of the foot ...

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  11. Find the distance between the parallel lines 12x+5y=7 and 12x+5y+7=0

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  12. Find the family of straight lines (i) Perpendicular (ii) Parallel to 3...

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  13. If the line joining two points A(2,0) and B(3,1) is rotated about A in...

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  14. A ray of light coming from the point (1,2) is reflected at a point A o...

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  15. A line is drawn perpendicular to 5x=y+7. Find the equation of the line...

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  16. Find the of the image of the point (-2,3) about the line x+2y-9=0.

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  17. A photocopy store charge Rs 1.50 per copy for the first 10 copies and ...

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  18. Find at least two equations of the straight lines in the family of the...

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  19. Find all the equations of the straight lines in the family of the line...

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