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Prove that the triangle formed by joini...

Prove that the triangle formed by joining the points
( 2 , 3 , 4 ) , ( 3 , 4 , 2 ) , ( 4 , 2 , 3) is an equilateral triangle.

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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Very Short Answer Type Questions
  1. Find the distance between the points ( - 4 , 3 , 7) and ( - 1, -...

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  2. Find the perpendicular distance of the point ( 1 , -2 , - 3) from th...

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  3. Prove that the triangle formed by joining the points ( 2 , 3 , 4...

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  4. Prove that the triangle formed by joining the points ( 2 , 3 , - ...

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  5. Prove that the triangle formed by joining the points ( - 4 , 9 , ...

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  6. Prove that the triangle formed by joining the points ( 1 , - 3,...

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  7. Prove that the points ( 4 , 7 , - 6) , ( 2 , 5 , -4) and ( 1 , 4 , ...

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  8. Find the coordiantes of the point in the xy-plane which is equiistant ...

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  9. If the distance between the points ( x , - 1 , 2) and (- 4 , 1 , 5) is...

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  10. Show that the points A ( 3 , 2 , -4) , B ( 5 , 4 , -6) and C ( 9 , 8 ...

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  11. Find the coordinates of the points on y - axis which are at a distance...

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  12. Find the coordinates of the point in xy- plane which is equidistant fr...

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  13. Find the coordinates of points on z-axis which are at a distance of 7...

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  14. Determined the equation to the locus of the point which is equidistant...

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  15. Find the coordinates of the point which is equidistant from the points...

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  16. Find the equation to the locus of the point whose distance from the po...

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  17. Find the perimeter of the triangle whose vertices are ( 0 , 1 , 2) , ...

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  18. Find the images of the point ( 3 , -4 , 6) with respect to yz-...

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  19. Find the images of the point ( 3, - 4 , 6) with respect to zx-plan...

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  20. Find the images of the point (3, - 4 , 6) with respect to xy - pla...

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