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Find the equation to the locus of the po...

Find the equation to the locus of the point for which the sum of the squares of the distances from the coordintae planes is 16 units.

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The correct Answer is:
`x^(2)+y^(2)+z^(2)=16`
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AAKASH SERIES-3D-COORDINATE SYSTEM-ADDITIONAL EXERCISE
  1. Find the area of the triangle whose vertices are (1,1,1),(1,2,3),(2,0,...

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  2. The transformed equation of 2x^2+3y^2-z^2-8x+18y+2z+9=0 when the axes ...

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  3. The point to which the axes should be translated to eliminate first de...

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  4. Find the ratio in which the centroid of tetrahedron ABCD divides the l...

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

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  6. The centroid of the triangle formed by the points (1,2,3),(2,3,1),(3,1...

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  7. Find the orthocenter of the triangle formed by the points (2,1,5),(3,2...

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  8. Find the orthocenter of the triangle formed by the points (2,-1,1),(1,...

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  9. If ("Cos"alpha, "Sin"alpha,0),(cos beta, sin beta,0), (cos gamma, sin ...

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

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  11. If the orthocentre and the centroid of a triangle are (-3,51),(3,3,-1)...

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

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  13. If (2, 5, 1) and (9, 10, 5) are the ends of a diagonal of a rectangul...

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  14. If L and M are the feet of the perpendiculars from the point (2,4,5) t...

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  15. If A,B are the feet of the perpendicular from P (2,4,5) to the x-axis ...

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  16. The locus of a point P from which the distance to the point (1,1,1) is...

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  17. Find the equation to the locus of the point for which the sum of the s...

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  18. The locus of the point P such that PA + PB = 4 where A=(2,3,4) , B=(-2...

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  19. Prove that the line segment joining the midpoints of the two sides of ...

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  20. Find the ratios in which the join of (12,-4,8) and (27,-9,18) is inter...

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