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Find the distance of the following point...

Find the distance of the following points from the origin (4,-5,3)

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To find the distance of the point (4, -5, 3) from the origin (0, 0, 0), we can use the distance formula in three-dimensional space. The distance \(D\) between two points \((x_1, y_1, z_1)\) and \((x_2, y_2, z_2)\) is given by: \[ D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2} \] In this case, the origin is \((0, 0, 0)\) and the point we are considering is \((4, -5, 3)\). Therefore, we can assign the coordinates as follows: ...
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MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. Find the distance of the following points from the origin (0,-4,4)

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  2. Find the distance of the following points from the origin (2,4,-3)

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  3. Find the distance of the following points from the origin (4,-5,3)

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  4. What is the distance of the y-axis from the point(3,-4,0)?

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  5. Find the distances between the following pair of points. (4,3,-6) and ...

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  6. Find the distances between the following pair of points. (-4,-2,3) and...

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  7. If the distance between the points (x,2,0) and (1,3,1) be sqrt6 , find...

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  8. Show that the points (1,-2,-3),(2,-3,-1) and (3,-1,-2) are the vertice...

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  9. Show that the triangle with vertices (6,10,10),(1,0,-5) and (6,-10,0)...

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  10. Find the locus of the point which is equidistant from the points (1,-2...

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  11. The distance of a point from the x-axis is twice its distance from the...

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  12. A point moves in such a way that its distance from the X-axis is twice...

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  13. Find the co-ordinates of the point which divides the join of (5,8,-3) ...

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  14. In what ratio does the origin divides the line segment joining the poi...

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  15. Find the co-ordinates of the centroid of the triangle whose vertices a...

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  16. Find the point of intersection of the medians of the triangle whose ve...

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  17. Find the lengths of the medians of the triangle whose vertices are A(2...

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  18. Can there be any line which makes angles 30^@,45^@ and 60^@ with the c...

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  19. If a line makes angles 60^@ and 135^@ respectively with x and y axes f...

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  20. If a line makes angles alpha, beta and gamma with the co-ordinate axes...

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