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A variable plane is at a constant distan...

A variable plane is at a constant distance p from the origin and meets the axes in A, B and C. The locus of the centroid of the triangle ABC is

A

`x^(-2) + y^(-2) + z^(-2) = p^(-2)`

B

`z^(-2) + y^(-2) + z^(-2) = 4p^(-2)`

C

`x^(-2) + y^(-2) + z^(-2) = 16p^(-2)`

D

`x^(-2) + y^(-2) + z^(-2) = 9p^(-2)`

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. The locus of a point P whose distance from the plane 6x – 2y + 3z + 4 ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The equations to the plane through the line of intersection of 2x + y ...

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  17. Equation of the bisector of the angle between the planes x+2y+2z-9=0,4...

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  18. The equations of the bisectors of the angles between the planes 3x – 6...

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  19. Find the equation of locus of point which lies on bisectors of angles ...

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  20. The equations of bisectors of angles between yz-plane and xz-plane is

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