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If the origin is the centroid of a triangle ABC having vertices `A(a ,1,3),\ B(-2, b ,-5)a n d\ C(4,7, c)` , find the values of `a , b , cdot`

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RD SHARMA ENGLISH-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-All Questions
  1. Find the point on x-axis which is equidistant from the points A(3,2,2)...

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

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

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

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

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

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

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  8. The ratio in which the line joining the points (a , b , c) and (-a ,-...

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

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

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  12. In a three-dimensional xyz space, the equation x^(2)-5x+6=0 represents

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

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

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

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

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

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  18. The length of the perpendicular drawn from the point P(3,4,5) on y-axi...

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  19. The perpendicular distance of the point P(3,3,4) from the x-axis is 3s...

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  20. The length of the perpendicular drawn from the point P(a , b , c) fro...

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