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Find the equation to the locus of a poi...

Find the equation to the locus of a point the sum of the squares of whose distances from the points ( 0 , - 4 , 3) and ( 0 , 4 , - 3) is equal to 60 unit .

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The correct Answer is:
` x ^(2) + y^(2) + z ^(2) = 5 `
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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Very Short Answer Type Questions
  1. Determined the equation to the locus of the point which is equidistant...

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  2. Find the coordinates of the point which is equidistant from the points...

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  3. Find the equation to the locus of the point whose distance from the po...

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  4. Find the perimeter of the triangle whose vertices are ( 0 , 1 , 2) , ...

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  5. Find the images of the point ( 3 , -4 , 6) with respect to yz-...

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  6. Find the images of the point ( 3, - 4 , 6) with respect to zx-plan...

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  7. Find the images of the point (3, - 4 , 6) with respect to xy - pla...

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  8. Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) ...

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  9. Three consecutive vertices of a parallelogram are ( 1 , 2, - 4) , ( -...

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  10. Two vertices of the parallelogram ABCD are A( 8 , 14 , 12) and B( ...

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  11. If (x(1),y(1),z(1)) , (x(2),y(2),z(2)) , (x(3) ,y(3),z(3)) and (x...

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  12. Determine the coordinates of the point which is equiistant from the ...

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  13. Find the distance of the point ( 2 , 4 , 3) from the x-axis and from t...

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  14. Find the equation to the locus of a point the sum of the squares of w...

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  15. Prove that the four points ( 1 , 1 , 1) , (-2 , 4 , 1) , (-1 , 5 ...

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  16. Prove that the points ( 2 , 3, 5) , ( - 4 , 7 , - 7) , ( - 2 , 1 ,...

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  17. Show that the points ( 0 ,0,0) , ( - 2 , 0, 0) , ( 0 , 2 , 0) and...

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  18. Find the coordinates of the points of trisection of the line-segment ...

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  19. Prove that the points ( - 1 , - 3, 4) , ( 1 , - 6, 10) , ( 7 , - ...

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  20. The coordinates of the points A , B , C and D are ( 1 , 1 , 1) , ( -...

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