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A line forms a triangle with co-ordinate...

A line forms a triangle with co-ordinate axes. If the area of this triangle is `54 sqrt3` square units and the perpendicular drawn from the origin to the line makes an angle of `60^@` with the x-axis, find the equation of the line.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Reduce the following equations into the normal form. Find their perpen...

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

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

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

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

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

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

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

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  9. Find the tangent of the angle between the lines whose intercepts on th...

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  10. Prove that the angle between the st. lines : (a + b)x + (a-b)y = 2ab ...

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  11. Find the measure of the angle A of the triangle ABC with vertices A (2...

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  12. The line through (4, 3) and (- 6,0) intersects the line 5x + y = 0. Fi...

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  13. The angle between two lins is pi/4 and the slope of one of them is 1...

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  14. The slope of a line is double of the slope of another line. If tangent...

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  15. Find the angle between the diagonals of parallelogram ABCD whose verti...

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  16. Find the equation of the st. line joining the points (3, -1) and (2, 3...

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  17. Find the equations of the st. lines which pass through (4, 5) and make...

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  18. Find the equations of the lines, which pass through the point (4, 5) a...

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  19. Find the equations of the lines through the point (3, 2) which make ac...

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  20. Find the equation of the st. line that has y-intercept 4 and is parall...

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