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If centroid of the triangle with vertices `(3c+2,2,0) , (2c,-1,-1)` and `(c+2, 3c+1,c+3)` coincides with the centre of the sphere `x^2+y^2+z^2+5ax-4by-2cz=13` then (A) `c=1` (B) `c=2` (C) `c=3` (D) `c=0`

A

`c=1`

B

`c=2`

C

`c=3`

D

`c=0`

Text Solution

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The correct Answer is:
A
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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
  1. If centroid of the triangle with vertices (3c+2,2,0) , (2c,-1,-1) and ...

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  2. The distance of the point (-1, -5, -10) from the point of intersection...

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  3. Let L(1) be a line with direction ratios (-2,-1,2)andL(2) be the line ...

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  4. Let (a,b,c)ne(0,0,0). The pair of equations which does not represent a...

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  5. Let alpha,betaandgamma be the angles made by a line with the positive ...

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  6. If a plane meets the coordinate axes at A, B, C, and DeltaABC has cent...

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  7. Shortest distance between z-axis and the line (x-2)/(3)=(y-5)/(2)=(z+1...

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  8. The reflection point of the point (0,3 -2) in the line (1-x)/2=2-y=z+1...

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  9. A variable plane passes through a fixed point (1,-2,3) and meets the c...

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  10. The angle between the lines => 2x=3y=-z and -6x=y=4z is:

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  11. If the lines (x-4)/1=(y-2)/1=(z-lamda)/3 and x/1=(y+2)/2=z/4 intersect...

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  12. A variable plane is at a distance p from the origin O and meets the se...

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  13. Find the image of the point (0,2,3) in the line (x+3)/(5)= (y-1)/(2) =...

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  14. The set of all non-zero real values of k, for which the lines (x-4)/(2...

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  15. The plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4...

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  16. The perpendicular distance from the point (3,1,1) on the plane passing...

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  17. If the line L: (x-1)/(4)=(y+3)/(-2)=(z+5)/(1) lies in the plane 2x+ly+...

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

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  19. The distance of the point (1, 2, 3) from the plane x+y+z=2 measured pa...

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  20. The length of perpendiculars from the point P(1,2,6) on the line L:(...

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