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Find the distances between the following...

Find the distances between the following pair of points. (-4,-2,3) and (3,3,5)

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To find the distance between the points (-4, -2, 3) and (3, 3, 5), we will use the distance formula in three-dimensional space. ### Step-by-Step Solution: 1. **Identify the Coordinates:** Let the first point be \( P_1 = (-4, -2, 3) \) and the second point be \( P_2 = (3, 3, 5) \). Here, we have: - \( x_1 = -4, y_1 = -2, z_1 = 3 \) ...
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MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. What is the distance of the y-axis from the point(3,-4,0)?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find the direction cosines of the line whose direction ratio are 2,-4,...

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  19. Find the direction cosines of the line whose direction ratio are sqrt3...

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  20. Find the direction cosines of the line whose direction ratio are a-b,b...

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