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If sum of the perpendicular distances of a variable point P(x, y) from the lines `x + y - 5 = 0 " and " 3x - 2y + 6 = 0 ` is always 10. Show that P must move on a line.

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NCERT BANGLISH-STRAIGHT LINES-Miscellaneous Exercise on Chapter 10
  1. Find perpendicular distance from the origin to the line joining the po...

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  2. Find the equation of the line parallel to y-axis and drawn through the...

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  3. Find the equation of a line drawn perpendicular to the line x/4 + y/6 ...

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  4. Find the area of the triangle formed by the lines y - x = 0, x + y = 0...

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  5. Find the value of p so that the three lines3x + y - 2 = 0, px + 2y - 3...

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  6. If three lines whose equations are y = m(1) x + c(1) , y = m(2) x + c(...

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  7. Find the equation of the lines through the point (3, 2) which make an ...

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  8. Find the equation of the line passing through the point of intersectio...

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  9. Show that the equation of the line passing through the origin and maki...

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  10. In what ratio, the line joining (-1, 1) " and " (5, 7) is divided by ...

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  11. Find the distance of the line 4x + 7y + 5 = 0 from the point (1, 2) a...

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  12. Find the direction in which a straight line must be drawn through the ...

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  13. The hypotenuse of a right angled triangle has its ends at the points (...

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  14. Find the image of the point (3,8) with respect to the line x + 3y = 7 ...

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  15. If the lines y = 3x + 1 " and " 2y = x + 3 are equally inclined to the...

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

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  17. Find equation of the line which is equidistant from parallel lines 9x ...

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  18. Aray of light passing through the point (1, 2) reflects on the x-axis ...

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  19. Prove that the product of the lengths of the perpendiculars drawn from...

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  20. A person standing at the junction (crossing) of two straight paths rep...

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