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If sum of the perpendicular distances of a variable point `P(x,y)` form the lines `x+y-5=0 and 3x-2y+7=0` is always 10. Show that P must move on a line.

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NCERT GUJARATI-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 th...

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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 lines 3x + y-2=0, px+2y-3 =0 and...

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

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

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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 the li...

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

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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 assu...

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

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

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

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  18. A ray 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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