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Show that the equation lx+ my = 1(l ne 0...

Show that the equation `lx+ my = 1(l ne 0,m ne 0)` represents a straight line.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the intercepts on the axes made by the straight lines : 2x-3y+6...

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  2. Find the intercepts on the axes made by the straight lines : x cos a...

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  3. Show that the equation lx+ my = 1(l ne 0,m ne 0) represents a straight...

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  4. The slope of line which cuts off intercepts of equal lengths on the ax...

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  5. Find the slope of a straight line, which cuts off from the axes : in...

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  6. Reduce the following to the perpendicular form and find p : x+y- 2=0...

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  7. Reduce the following to the perpendicular form and find p : 4x+3y-9=...

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  8. Reduce the following to the perpendicular form and find p : x - 4=0...

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  9. Reduce the following to the perpendicular form and find p : sqrt3 x+...

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  10. Reduce the following to the perpendicular form and find p : 3x-4y+10...

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  11. Reduce the following to the normal form. Find their perpendicular-dist...

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  12. Reduce the following to the normal form. Find their perpendicular-dist...

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  13. Reduce the following equations into the normal form. Find their perpen...

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  14. Find the values of theta and p, if the equation x cos theta+ y sin the...

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  15. A line forms a triangle with co-ordinate axes. If the area of this tri...

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  16. Write the slope of the st. line, which is perpendicular to x + 2y= 4.

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  17. Find the acute angles between the st. lines : 2x-y+3=0 and x+y-2=0.

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  18. Find the acute angles between the st. lines : y-3x-5=0 and 3y -x +6...

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  19. Find the acute angles between the st. lines : sqrt3 x+y =1 and x+sqr...

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  20. Find the acute angles between the st. lines : y-sqrt3 x-5=0 and 3y-x...

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