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Show that the path of a moving point such that its distances from two lines `3x - 2y = 5 and 3x + 2y = 5` are equal is a straight line.

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KUMAR PRAKASHAN-STRAIGHT LINES-Textbook Illustrations for Practice Work
  1. Find the equation of the line whose perpendicular distance from the or...

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  2. The fahrenheit temperature F and absolute temperature K satisfy the li...

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  3. Equation of a line is 3x-4y+ 10 =0. Find its (i) slope,

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  4. Equation of a line is 3x-4y+ 10 =0. Find its (ii) x -intercepts and ...

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  5. Reduce the equation sqrt(3) x + y- 8=0 into normal form. Find the valu...

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  6. Find the angle between the lines y- sqrt(3) x - 5 = 0 and sqrt(3) y - ...

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  7. Show that two lines a(1) x + b(14) y + c(1) = 0 and a(2) x + b(2) y + ...

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  8. Show that two lines a(1) x + b(14) y + c(1) = 0 and a(2) x + b(2) y + ...

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  9. Find the equation of a line perpendicular to the line x-2y+ 3=0 and pa...

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  10. Find the distance of the point (3, -5) from the line 3x - 4y - 26 = 0.

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  11. Find the distance between the parallel lines 3x-4y+7=0 and 3x - 4y + 5...

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  12. Find the equation of line parallel to the Y- axis and drawn through th...

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  13. Find the new coordinates of point (3,-4) if the origin is shifted to (...

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  14. Find the transformed equation of the straight line 2x - 3y + 5 = 0, wh...

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  15. If the lines 2x+ y-3 = 0, 5x+ky - 3=0 and 3x -y -2 =0 are concurrent, ...

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  16. Find the distance of the line 4x - y = 0 from the point P (4, 1) meas...

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  17. Assuming that straight lines work as the plane mirror for a point, fin...

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  18. Show that the area of the triangle formed by the lines y= m(1) x + c(1...

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  19. A line is such that its segment between the lines 5x-y + 4=0 and 3x + ...

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  20. Show that the path of a moving point such that its distances from two ...

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