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If the foot of the perpendicular from (0, 0, 0) to a plane is (1, 2, 3), then the equation of the plane is

A

2x + y + 3z = 14

B

x + 2y + 3z = 14

C

x + 2y + 3z + 14 = 0

D

x+ 2y – 3z = 14

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. If (2, 4, – 3) is the foot of the perpendicular drawn from the origin ...

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  2. If the foot of the perpendicular from (0,0,0) to a plane is (1, 2, 2),...

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  3. If the foot of the perpendicular from (0, 0, 0) to a plane is (1, 2, 3...

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  4. The foot of the perpendicular from (1, 3, 4) to 2x – y +z +3 = 0 is

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  5. The foot of the perpendicular from (0,0,0) to 3x + 4y – 6z = 0 is

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  6. The image of (1, 3, 4) in the plane 2x - y +z+3 = 0) is

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  7. The image of the point (3, 2, 1) in the plane 2x – y + 3z = 7 is:

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  8. The image of the point (-1, 3, 4) in the plane x – 2y = 0 is

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  9. The d.c.'s of the normal to the plane 2x + 3y – 6z + 5 = 0 are

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  10. The perpendicular distance from the origin to the plane x – 2y + 2z - ...

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  11. The perpendicular distance from the point (-2,3, 1) to the plane 2x – ...

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  12. The normal form of 2x – 2y +z = 5 is

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  13. The equation of the plane passing through (3, 4,-2) and whose normal h...

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  14. A plane passing through (- 1, 2, 3) and whose normal makes equal angle...

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  15. A plane passes through (2, 3, -1) and is perpendicular to the line hav...

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  16. A plane prod passes through the point (1, 1, 1). If b, c, a are the di...

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  17. The equation of the plane which is at a distance of 5 unit from the or...

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  18. The equation of the plane having intercepts 2, 3, 6 is

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  19. The intercepts of the plane 2x – 3y + 5z – 30 = 0 are

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  20. The intercepts form of 6x – 3y – 2z + 12 = 0 is

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