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Find the foot of perpendicular drawn fro...

Find the foot of perpendicular drawn from a point P(2, 4, -5) on the coordinate planes.

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The correct Answer is:
`[(2, 4, 0), (0, 4, -5), (2, 0, -5)]`
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Locate the point A(3, 5, -4).

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  2. Find the foot of perpendicular drawn from a point M(-2, 3, 6) on the c...

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  3. Find the foot of perpendicular drawn from a point P(2, 4, -5) on the c...

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  4. Find the distances of the point (-4, -3, 4) from the coordinate plane...

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  5. Find the distances of the point (-4, 3, 6) from the coordinate planes...

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  6. Find the distance of the point P(3, 4, 6) from y-axis.

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  7. Find the distance of the point (-3, -4, 6) from z-axis.

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  8. Find the image of the point (4, 5, 7) in XY-plane.

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  9. Find the image of the point (-4, 0, -1) in YZ-plane.

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  10. Find the distance between the points (5, 3, -2) and (3, 2, 1).

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  11. Find the distance between origin and (2, 5, 6).

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  12. Show that the points (-1, 0, -4), (0, 1, -6) and (1, 2, -5) from a rig...

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  13. Show that the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the ver...

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  14. Show that the points (-3, 2, 4), (-1, 5, 9) and (1, 8, 14) lie on a li...

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  15. Show that the points (2, -3, 3), (1, 2, 4) and (3, -8, 2) are collinea...

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  16. Find the equation of the locus of point P, the sum of the square of wh...

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  17. Find the equation of the locus of point P, the sum of whose distance f...

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  18. Show that the points (3, -1, 2), (5, -2, -3), (-2, 4, 1) and (-4, 5, 6...

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  19. Show that the points (3, 1, 4), (6, 4, 4), (8, 2, 4) and (5, -1, 4) ar...

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  20. Find the coordinates of the point which divides the line segment join...

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