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Write the distance of the point P(2,3,5)...

Write the distance of the point `P(2,3,5)` from the xy-plane.

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To find the distance of the point \( P(2, 3, 5) \) from the xy-plane, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Coordinate System**: - The point \( P(2, 3, 5) \) is represented in a 3D coordinate system where: - \( x = 2 \) - \( y = 3 \) ...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. Given that P(3,2,-4),\ Q(5,4,-6)a n d\ R(9,8,-10) are collinear. Find ...

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  2. Find the ratio in which the segment joining the points (4,8,10) and ...

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  3. Write the distance of the point P(2,3,5) from the xy-plane.

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  4. Write the distance of the point P(3,4,5) from z-axis.

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  5. If the distance between the points P(a ,2,1)a n d\ Q(1,-1,1) is 5 unit...

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  6. The coordinates of the mid points of sides AB, BC and CA of A B C are...

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  7. Write the coordinates of the foot of the perpendicular from the point ...

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  8. Write the length of the perpendicular drawn from the point P(3,5, 12) ...

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  9. Write the coordinates of third vertex of a triangle having centroid at...

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  10. What is the locus of a point (x , y , z) for which y=0, z=0?

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  11. Find the ratio in which the line segment joining the points (2,4,5) an...

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  12. Find the point on y-axis which is at a distance of sqrt(10) units from...

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  13. Find the point on x-axis which is equidistant from the points A(3,2,2)...

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  14. Find the coordinates of a point equidistant from the origin and pints ...

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  15. Write the coordinates of the point P which is five sixth of the way fr...

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  16. If a parallelepiped is formed by the planes drawn through the points ...

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  17. Determine the point on yz-plane which is equidistant from points A(2,0...

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  18. If the origin is the centroid of a triangle ABC having vertices A(a ,1...

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  19. The ratio in which the line joining (2,4,5) and (3,5,-9) is divided by...

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  20. The ratio in which the line joining the points (a , b , c)a n d\ (-a ,...

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