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Find the point on y-axis which is at a d...

Find the point on y-axis which is at a distance of `sqrt(10)` units from the point(1,2,3).

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To find the point on the y-axis that is at a distance of \(\sqrt{10}\) units from the point \((1, 2, 3)\), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the point on the y-axis**: A point on the y-axis can be represented as \((0, \lambda, 0)\), where \(\lambda\) is the y-coordinate we need to find. 2. **Use the distance formula**: ...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. What is the locus of a point (x , y , z) for which y=0, z=0?

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

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

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

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

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

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

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

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

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

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

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  12. If P(0,1,2),\ Q(4,-2,1)a n d\ O(0,0,0) are three points then angle P ...

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  13. If the extremities of the diagonal fo a square are (1,-2,3) and (2,...

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  14. The points (5,-4,2), (4,-3,1), (7,6,4) and (8,-7,5) are the vertices o...

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  15. In a three dimensional space the equation x^2-5x+6=0 represents a. poi...

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  16. Let (3,4,-1) and (-1,2,3) be the end points of  diameter of a sphere. ...

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  17. XOZ-plane divides the join of (2,3,1) and (6,7,1) in the ratio a. 3:7...

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  18. What is the locus of a point for which y=0,\z =0? a. x-axis b. y-ax...

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  19. The coordinates of the foot of the perpendicular drawn from the point ...

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  20. The perpendicular distance of the point P(6,7,8) from xy-plane is a. 8...

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