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If sum of the perpendicular distances o...

If sum of the perpendicular distances of a variable point `P (x , y)`from 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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MODERN PUBLICATION-STRAIGHT LINES -Miscelloneous Exercise
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  8. Find the equation of the line passing through the point of intersecti...

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

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  11. Find the distance of the line 4x+7y+5=0from 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 point...

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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 ...

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

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