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A variable plane through a fixed point (...

A variable plane through a fixed point (1, 2, 3) then the foot of the perpendicular from the origin to the plane lies on

A

a circle

B

a sphere

C

an ellipse

D

a parabola

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. The plane 2x + 3y + kz - 7 = 0 is parallel to the line whose d.r's are...

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  2. P=(0,1,0),Q=(0,0,1) then projection of bar(PQ) on the plane x+y+z=3 is

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  3. A variable plane through a fixed point (1, 2, 3) then the foot of the ...

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  4. The locus of the point whose distance from the origin is twice its dis...

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  5. The locus of a point for which the sum of the squares of the distances...

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  6. The locus of the point such that the sum of the squares of its distanc...

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  7. The locus of a point P whose distance from the plane 6x – 2y + 3z + 4 ...

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  8. If a plane meets the coordinate axes in A, B, C such that the centroid...

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  9. A plane meets the coordinate axes at A,B,C so that the centroid of the...

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  10. A variable plane is at a constant distance p from the origin and meets...

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  11. A variable plane is at a constant distance p from the origin and meets...

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  12. A variable plane is at a constant distance P from the origin and meets...

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  13. Two systems of rectangular axes have the same origin. If a plane cuts ...

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  14. The equation of the plane which is parallel to y-axis and making inter...

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  15. The point on x-axis with is equidistant to (2,-1-4), (-4,3,0) is

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  16. The plane passing through the points (1,1,1),(1,-1,1) and (-7,-3,-5) i...

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  17. The plane determined by the points (-1,2,-2),(0,1,1)and(1,1,2) passes ...

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  18. The equation of the plane through the line of intersection of the plan...

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  19. The equation of the plane through the line of intersection of the plan...

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  20. The equation of the plane through the line of intersection of the plan...

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