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Prove that the points (0, 7,-10), (1, 6,...

Prove that the points (0, 7,-10), (1, 6,-6) and (4,9, - 6) are the vertices of an isosceles triangle.

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Verify the following: (0, 7, -10), (1, 6, -6) and (4, 9,-6) are the vertices of an isosceles triangle.

Verify that (0, 7, 10) , (-1,6,6) and (-4, 9,6) are the vertices of a right angled triangle.

Show that the points (2,4,3),(4,1,9) and (10,-1,6) are the vertices of an isosceles right angled triangle.

Check whether (5,- 2) , (6, 4) and (7, -2) are the vertices of an isosceles triangle.

Show that the points (3, 4), (8, -6) and (13, 9) are the vertices of a right angled triangle.

Verify the following: (0, 7, 10), (-1,6, 6) and (- 4, 9, 6) are the vertices of a right angled triangle.

Prove that the points (0, 0), (3, (pi)/(2)) and (3, (pi)/(6)) are the vertices of an equilateral triangle.

Show that the points : A (0,1,2),B(2,-1,3) and C (1,-3,1) are vertices of an isosceles right angle triangle.

Show that the points (3, -1, -1), (5,-4, 0), (2, 3, -2) and ( 0, 6, -3) are the vertices of a parallelogram*.

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

MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Show that the triangle with vertices (0, 7, 10), (-1, 6, 6) and (- 4, ...

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  2. Are the points A (3, 6, 9), B (10, 20, 30) and C (25,- 41, 5) the vert...

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  3. Prove that the points (0, 7,-10), (1, 6,-6) and (4,9, - 6) are the ver...

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  4. Show that A(a,b,c),B(b,c,a) and C(c,a,b) are the vertices of an equila...

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  5. Show that the points : (0,4,1),(2,3,-1),(4,5,0) and (2,6,2) are vertic...

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  6. Show that the points (1, 2, 3), (-1, -2, -1), (2, 3, 2) and (4, 7, 6) ...

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  7. Show that the points (-1,2,1), (1,-2,5), (4,-7,8) and (2,-3,4) are ver...

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  8. Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -...

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  9. Find the equation of the set of points P, the sum of whose distance fr...

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  10. If A and B be the points (3,4,5) and (-1,3,-7) respectively, find the ...

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  11. Find the co-ordinates of the point, which is equidistant from four poi...

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  12. Find the co-ordinates of the point, which is equidistant from four poi...

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  13. Show that (-1, 4, -3) is the circumcentre of the triangle formed by th...

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  14. Find the co-ordinates of the point, which divides the join of (-2, 3, ...

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  15. Find the co-ordinates of the point, which divides the join of (-2, 3, ...

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  16. Find the co-ordinates of the points, which divide the join of the poin...

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  17. Find the co-ordinates of the points, which divide the join of the poin...

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  18. Find the co-ordinates of the mid-point of the join of the points A (3,...

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  19. Find the coordinates of the points which trisect the line segment join...

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  20. Find the co-ordinates of the point R, which divides the join of P (0, ...

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