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The ends of hypotenuse of a right angled...

The ends of hypotenuse of a right angled triangle are (2, 0, -3), (0,4,1) then locus of 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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AAKASH SERIES-3D COORDINATE SYSTEM-ADDITIONAL PRACTICE EXERCISE (LEVEL - I (MAIN) ) (Straight Objective Type Questions)
  1. The distance of a point P(x, y, z) from its image in xy-plane is

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  2. If the point A(3, -2, 4), B(1, 1, 1) and C(-1, 4, -2) are collinear th...

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  3. If A(0,4,1), B(a,b,c), C(4,5,0), D(2,6,2) are the consecutive vertices...

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  4. If A=(-2, 3, 4), B= ( 1, 2, 3) are two points and P is the point of in...

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  5. Let A(4, 7, 8), B(2, 3, 4) and C(2,5,7) be the vertices of DeltaABC. ...

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  6. If (1, 1, a) is the centroid of the triangle formed by the points (1, ...

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  7. D(2,1,0) ,E(2,0,0),F(0,1,0) are midpoints of the sides BC,CA,AB of De...

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  8. The circumcenter of the triangle formed by the point (1,2,3) (3,-1,5)...

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

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

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  11. The circumcenter of the triangle formed by the point (1,2,3) (3,-1,5)...

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  12. In the tetrahedron ABCD, A = (1, 2, -3) and G(-3, 4, 5) is the centroi...

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  13. The ends of hypotenuse of a right angled triangle are (2, 0, -3), (0,4...

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

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

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  16. If P = (1,2,-3), Q(1,0,-1) and translate the axes by Q is origin, then...

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  17. Let P(r )(x(r ), y(r ), z(r )), r = 1,2,3 be three points where x(1),...

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  18. Assertion (A) : A and B are given points in a space. Then locus of P s...

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  19. The are of the triangle whose vertices are (1,1,1) (1,2,3), (2,0,1) i...

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  20. In DeltaABC if A=(0, 0, 4), AB=4, BC=3, CA=5, I=(1,0,1) is the incent...

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