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Which of the st. lines 2x - y + 3 = 0 an...

Which of the st. lines 2x - y + 3 = 0 and x- 4y-7=0 is farther from the origin ?

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Find the transformed equation of the st. line 2x-3y + 5 = 0 when the origin is shifted to the point (3, -1) after translation of axes.

Find the equation of the circle whose centre is the point of intersection of the lines 2x-3y+4=0and3x+4y-5=0 and passes through the origin.

The radius of the circle having the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 as tangents is :

Find the equation of the line passing through the intersection of the lines x + 2y - 3 = 0 and 4x - y + 7 = 0 and which is parallel to 5x - 4y - 20 = 0 .

For what value of K are the three st. lines : 2x+y-3=0, 5x + ky-3=0 and 3x-y-2=0 are concurrent ?

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Find the equation of a straight line passing through the point of intersection of the lines : 3x +y-9 =0 and 4x + 3y-7=0 and perpendicular to the line 5x -4y + 1 =0.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the distance between the line and the point of the following : ...

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  2. Find the distance between the line and the point of the following : ...

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  3. Which of the st. lines 2x - y + 3 = 0 and x- 4y-7=0 is farther from th...

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  4. Find the point on the x-axis, whose distances from the line (x)/(3)+(y...

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  5. In the triangle with vertices A (2, 3), B (4, -1) and C (-1,2), find t...

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  6. The vertices of a triangle are A (-2, 1), B (6, -2) and C (4, 3). Find...

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  7. Find perpendicular distance of the line joining the points (cos theta,...

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  8. If p is the length of perpendicular from the origin to the line whose ...

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  9. If p and q are respectively the perpendiculars from the origin upon th...

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  10. If p and q are the lengths of perpendicular from origin to the lines x...

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  11. Find the length of the perpendicular from the vertex B of triangle ABC...

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  12. Find the distance between the parallel lines : 4x - 3y -9 =0 and 4x ...

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  13. Find the distance between the parallel lines (i) 15x+8y-34=0 and 15x...

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  14. Find the distance between the parallel lines : l(x + y) + p =0 and l...

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

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

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

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

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

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

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