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Find the coordinates of the point in xy-...

Find the coordinates of the point in xy- plane which is equidistant from the points ( 1 , - 2 , - 3) , ( 3 , 0 , 3) and ( 0 , - 2 , -4) .

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The correct Answer is:
(-3 , 4 , 0)
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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Very Short Answer Type Questions
  1. Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 ...

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  2. Find the coordinates of the points on y - axis which are at a distance...

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  3. Find the coordinates of the point in xy- plane which is equidistant fr...

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  4. Find the coordinates of points on z-axis which are at a distance of 7...

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  5. Determined the equation to the locus of the point which is equidistant...

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

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

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

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

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

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

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

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

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

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  15. 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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  16. Determine the coordinates of the point which is equiistant from the ...

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

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

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

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

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