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The ends of the hypotenuse of a right an...

The ends of the hypotenuse of a right angled triangle are `(2,0,-3) ,(0,4,1)` then the locus of the third vertex is

A

`x^2+y^2+z^2-2x-4y+2z-3=0`

B

`x^2+y^2-z^2-2x+4y+2z+3=0`

C

`x^2-y^2-z^2-2x-4y+2z-3=0`

D

`x^2+y^2+z^2+2x+4y+2z+3=0`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-COORDINATE SYSTEM (3D)-EXERCISE 1
  1. The locus of a point which is at a distance of 5 unit from (2,1,-3) is

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  2. The locus of a point which is at a distance of 2 unit from yz - plane ...

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  3. The locus of the point which is equidistant from xy plane and yz - pla...

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  4. The locus of point which is equidistant from the points (-2,2,3),(3,...

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

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

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  7. The locus of a point P from which the distance to the point (2,3,-1) i...

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  8. The locus of a point P such that distances from P to the points (2,3,5...

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  9. The locus of a point P such that 3PA = 2PB where A = (2,3,4) B=(-3,2,5...

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  10. The locus of the point if the join of the points (-4,2,3) ,(2,-1,5) su...

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  11. The ends of the hypotenuse of a right angled triangle are (2,0,-3) ,(0...

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

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  13. The locus of point P such that PA - PB = 5 where A=(3,2,-1), B=(3,-4,2...

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  14. The locus of the point P such that PA^(2)+PB^(2)=10 where A=(2,3,4), B...

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  15. The locus of the point P such that PA^2+PB^2=2PC^2 where A=(1,3,2),B=(...

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  16. The locus of the point (r cos alpha cos beta, r cos alpha sin beta, r ...

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  17. The locus of the point (2sec alpha cos beta, 2 sec alpha sin beta, 2ta...

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  18. The coordinates of the point (3,-7,5) in the new system when the origi...

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

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

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