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Show that the triangle with vertices (6...

Show that the triangle with vertices (6,10,10),(1,0,-5) and (6,-10,0) is a right angled triangle

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Show that the triangle vertices (6,10,10), (1,0,-5) and (6,-10,0) is a right - angled triangle .

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Find the area of the triangle with vertices (0,0), (6,0) and (0,5).

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STATEMENT-1 : The triangle with vertices (1, 3, 5), (2, 4, 6) and (0, 5, 7) must be a right angle triangle. and STATEMENT-2 : If the dot product of two non-zero vectors is zero then they must be perpendicular.

MAHAVEER PUBLICATION-CO-ORDINATE GEOMETRY OF THREE DIMENSIONS-QUESTION BANK
  1. If the distance between the points (x,2,0) and (1,3,1) be sqrt6 , find...

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  2. Show that the points (1,-2,-3),(2,-3,-1) and (3,-1,-2) are the vertice...

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  3. Show that the triangle with vertices (6,10,10),(1,0,-5) and (6,-10,0)...

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  4. Find the locus of the point which is equidistant from the points (1,-2...

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  5. The distance of a point from the x-axis is twice its distance from the...

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  6. A point moves in such a way that its distance from the X-axis is twice...

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  7. Find the co-ordinates of the point which divides the join of (5,8,-3) ...

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  8. In what ratio does the origin divides the line segment joining the poi...

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  9. Find the co-ordinates of the centroid of the triangle whose vertices a...

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  10. Find the point of intersection of the medians of the triangle whose ve...

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  11. Find the lengths of the medians of the triangle whose vertices are A(2...

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  12. Can there be any line which makes angles 30^@,45^@ and 60^@ with the c...

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  13. If a line makes angles 60^@ and 135^@ respectively with x and y axes f...

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  14. If a line makes angles alpha, beta and gamma with the co-ordinate axes...

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  15. Find the direction cosines of the line whose direction ratio are 2,-4,...

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  16. Find the direction cosines of the line whose direction ratio are sqrt3...

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  17. Find the direction cosines of the line whose direction ratio are a-b,b...

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  18. If a line make angle 30^@ and 60^@ with the x and y axes, what angles ...

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  19. Find the direction ratios and direction cosines of the lines joining t...

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  20. Find the direction ratios and direction cosines of the lines joining t...

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