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The coordinates of a point equidistant f...

The coordinates of a point equidistant from the four points (a,0,0),(0,b,0),(0,0,c),(0,0,0) are

A

(2a,2b,2c)

B

(a,b,c)

C

`(a/2,b/2,c/2)`

D

`(a/3,b/3,c/3)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
  1. The distance between the origin and the centroid of the tetrahedron wh...

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  2. If the centroid of the tetrahedron is (0,-1,5/2) and three vertices ar...

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  3. The coordinates of a point equidistant from the four points (a,0,0),(0...

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  4. The circumcentre of the triangle formed by the pointgs (1,2,3), (3,-1,...

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  5. The circumradius of the triangle formed by the points (2,-1,1),(1,-3,-...

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  6. Assertion (A) : P(3,5,4), Q(6,5,7) are the vertice of a triangle whose...

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  7. The distance between the circumcentre and the orthocentre of DeltaABC ...

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  8. If the orthocentre and the circucentre of are (-3,5,2) ,(6,2,5) then i...

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  9. If H,G,S, I are respectively othercentre centroid , circumcentre and i...

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  10. A(0,2,3), B(2,-1,5),C(3,0, -3) are vertices of DeltaABC. If a,b,c are ...

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  11. If (1,2,3 ), (2,3,1 ) are two vertices of an equilateral triangle then...

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  12. The distance between the circumcentre and the orthocentre of the trian...

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  13. Find the incentre of the DeltaABC with vertices A(0,0,4), B(3,0,4), C(...

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  14. If origin is the orthocentre of a triangle formed bythe points (cos al...

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  15. The x, y, z coordinates of each vertex of a triangle are in A.P. The x...

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  16. A (3,2,0), B(5,3,2), C(-9,6,-3) are three points forming a triangle th...

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  17. A (4,3,5), B(0,-2,2) and C( 3,2,1) are three points. The coordinates o...

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  18. Let A (4, 7, 8), B (2, 3, 4) and C (2, 5, 7) be the position vectors o...

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  19. The locus of equation x^(2)+y^(2)+z^(2)+1=0 is

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  20. The locus of first degree equation in x,y,z is

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