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If A=(2,4,1),B(-1,0,1),C=(-1,4,2), then ...

If `A=(2,4,1),B(-1,0,1),C=(-1,4,2)`, then the distance of `(1,-2,1)` from the plane ABC is

A

`2//3`

B

`14//13`

C

`4//3`

D

`1`

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The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-THE PLANE-EXCERISE 1
  1. The equation of the plane passing through the points (1, 2, 1), (1, 1,...

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  2. The equation of the plane passing through the points (1, 1, 1), (1, - ...

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  3. If A=(2,4,1),B(-1,0,1),C=(-1,4,2), then the distance of (1,-2,1) from ...

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  4. The distance from the plane passing through (1,3,2),(-5,0,2),(1,1,-4) ...

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  5. The equation of the plane through the points (2, 2, 1), (9,3, 6) and p...

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  6. The equation of the plane passing through (1, - 2, 4), (3, -4,5) and p...

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  7. The equation of the plane passing through (1, - 2, 4), (3, - 4,5) and ...

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  8. The equation of the plane through the point (-1, 6, 2) and perpendicul...

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  9. The equation of the perpendicular bisecting plane of the line segment ...

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  10. The equation of the perpendicular bisecting plane of the line segment ...

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  11. The plane 2x + 3y + kz - 7 = 0 is parallel to the line whose d.r's are...

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

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

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

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

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

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

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

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

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