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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:
D
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AAKASH SERIES-3D-COORDINATE SYSTEM-EXERCISE-1
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  2. The locus of equation x^(2)+y^(2)+z^(2)+1=0 is

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

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  4. The Locus of a point P(x,y,z) which moves in such away that z=C (const...

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  5. The locus of a point which is at a distance of 5 unit from (2,1,-3) is

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  6. Equation to the locus of points which are equal distance from the poin...

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

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  8. The locus of the point which is at a distance of '3' unit from zx-plan...

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  9. The locus of a point which is a distance of '5' unit from xy-plane is

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  10. P is a variable point which moves such that 3PA =2PB. If A(-2,2,3) and...

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  11. Locus of a point 'P' such that PA+PB =4, where A=(2,3,4), B=(-2,3,4) i...

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  12. Locus of x/a+y/b=1 and z = 0 is

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  13. The locus of the point (r sec alpha cos beta, r sec alpha beta, r tan ...

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  14. Locus of point for which the sum of squares of distance from the coord...

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

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

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  19. The transformed equation of 2x^(2)-3y^(2)+z^(2)+4x+6y-4z-2=0 when the ...

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

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