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Find the centroid of the triangle mid po...

Find the centroid of the triangle mid points of whose sides are `(1,2,-3),(3,0,1)and (-1,1,4)`

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To find the centroid of the triangle formed by the midpoints of its sides given by the points \( A(1, 2, -3) \), \( B(3, 0, 1) \), and \( C(-1, 1, 4) \), we can use the formula for the centroid of a triangle in three-dimensional space. ### Step-by-Step Solution: 1. **Identify the coordinates of the points**: - Let \( A = (1, 2, -3) \) - Let \( B = (3, 0, 1) \) - Let \( C = (-1, 1, 4) \) ...
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NCERT EXEMPLAR ENGLISH-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-Fillers
  1. Find the centroid of the triangle mid points of whose sides are (1,2,-...

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  2. The three axes OX, OY and OZ determine ………….

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  3. The three planes, determine a rectangular parallelopiped which has ………...

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  4. The coordiantes of a point are the perpendicular distance from the ….....

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  5. The Three coordiantes planes divide the space into ……. Parts.

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  6. If a point P lies in YZ- plane , then the coordinates of a point on YZ...

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  7. The equation of YZ- plane is ………

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  8. If the point P lies on Z - axis , then coordinates of p are of the for...

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  9. The equation of Z - axis , are…………..

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  10. A line is parallel to XY- plane if all the points on the line have equ...

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  11. A line is parallel to X-axis,if all the points on the line have equal…...

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  12. 45x=a represent a plane parallel to ………..

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  13. A plane is parallel to YZ-plane , so it is perpendicular tio

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  14. The length of the longest piece of a string that can be stetched strai...

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

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

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  17. Match each item given under the column I to its correct answer given u...

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