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Find the centroid of a triangle, mid poi...

Find the centroid of a 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 a triangle given the midpoints of its sides, we can follow these steps: ### Step 1: Identify the Midpoints The midpoints of the sides of the triangle are given as: - D (1, 2, -3) - E (3, 0, 1) - F (-1, 1, -4) ...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
  1. The id points of the sides of a triangle ABC are given by (-2,3,5),(4,...

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  2. Find the ratio in which the sphere x^2+y^2+z^2=504 divides the line jo...

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  3. Find the centroid of a triangle, mid points of whose sides are (1,2...

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  4. The centroid of a triangle ABC is at the point (1,1,1). If the coor...

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  5. Find the coordinates of the points which tisect the line segment jo...

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  6. Using section formula, show that the points A(2,-3,4),\ B(-1,2,1)\ a n...

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  7. Given that P(3,2,-4),\ Q(5,4,-6)a n d\ R(9,8,-10) are collinear. Find ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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