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Prove that the angle between the st. lin...

Prove that the angle between the st. lines : `(a + b)x + (a-b)y = 2ab` and `(a-b)x+(a+ b) y = 2ab` is `tan^-1 frac(2ab)(a^2-b^2)` .

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the acute angles between the st. lines : y-sqrt3 x-5=0 and 3y-x...

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

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

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

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

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

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

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

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

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

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

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

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

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  14. Find the equation of a line that has x-intercept 3 and perpendicular t...

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  15. Find the equation of the lines through (- 2, -1) and are : parallel to...

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  16. Find the equation of the lines through (- 2, -1) and are : perpendicul...

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  17. Find the equation of a line through the point (-2,3) and parallel to t...

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

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  19. Find the equation of the line perpendicular to the line x - 2y + 3 = 0...

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  20. Find the equation of the line that is parallel to 2x +5y = 7 and passe...

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