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Prove that the feet of the perpendicular...

Prove that the feet of the perpendicular from the origin on the lines `x+y=4,x+5y=26, 15x-27y=424` are collinear.

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-STRAIGHT LINE -TEXTUAL EXERCISES (EXERCISE-3(d))
  1. Find the equation of the straight line passing through A(-1,3) and (i)...

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  2. The line x/a-y/b=1 meets the X-axis at P. Find the equation of the lin...

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  3. Find the equation of the line perpendicular to the line 3x+4y+6=0 and ...

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  4. A(-1,1),B(5,3) are opposite vertices of a square in the XY-plane. Find...

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  5. Find the foot of the perpendicular drawn from (4,1) upon the straight ...

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  6. Find the foot of the perpendicular drawn from (3,0) upon the straight ...

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  7. x-3y-5=0 is the perpendicular bisector of the line segment joining the...

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  8. Find the image of (1,2) in the straight line 3x+4y-1=0

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  9. Show that the distance of the point (6,-2) from theline 4x+3y=12 is ha...

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  10. Find the locus of the foot of the perpendicular from the orign to a va...

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  11. Show that the lines x-7y-22=0, 3x+4y+9=0 and 7x+y-54=0 form a right an...

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  12. Find the equation of the straight lines passing through the point (-3,...

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  13. Find the angles of the triangle whose sides are x+y-4=0, 2x+y-6=0, 5x+...

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  14. Prove that the feet of the perpendicular from the origin on the lines ...

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  15. Find the equations of the line passing through the point of intersecti...

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  16. Each sides of a square is of lemgth 4 units. The centre of the square ...

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  17. If abgt0 find th area of the rhombus enclosed by the four straight lin...

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  18. Find the area of the parallelogram whose sides are 3x+4y+5=0, 3x+4y-2=...

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  19. A person standing at the juction (crossing ) of two straight paths rep...

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  20. A ray of light coming from the point (1,2) is reflected at a point A o...

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