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The coplanar points (3,2,1 ), (5,6,5),(2...

The coplanar points (3,2,1 ), (5,6,5),(2,1,2 )(0,-3,-2 ) from a

A

square

B

rectangle

C

rhombus

D

parallelogram

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The correct Answer is:
D
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Match the following {:(I.,"The points (3,2,1),(5,6,5),(2,1,2),(0,-3,-2) form","a) square "),(II.,"The points (1,2,2),(2,-1,0),(1,1,3),(0,4,5)form","b) rectangle"),(III.,"The points (1,2,4),(-2,2,1),(2,4,-3),(5,4,0) form","c) rhombus"),(IV.," The points (-2,4,1),(-1,5,5),(2,2,5),(1,1,1)form","d) parallelogram"):}

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The coplanar points (1,2,4 ),(-2,2,1 ), (2,4,-3 ) ,(5,4,0) form

The points (-2, 3, 5 ) (1,2,3 ) (7,0,-1 ) are

The points (2,5,-4) , (4,7,-6) , (1,4,-3) are

Show that the points (2, 1, -1), (1, 1, 1,) (2, 2, 1) ,(0, 2, 5) are coplanar.

Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4,2,-2) and D(6,5,-1) be coplanar.

DIPTI PUBLICATION ( AP EAMET)-COORDINATE SYSTEM (3D)-EXERCISE 1
  1. The centroid of the triangle formed by the points (1,2,3),(3,-1,5),(4,...

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  2. If (1,2,3 ), (2,3,1 ) are two vertices of an equilateral triangle then...

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  3. The coplanar points (3,2,1 ), (5,6,5),(2,1,2 )(0,-3,-2 ) from a

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  4. The coplanar points (1,2,2 ) ,(2,-1 , 0) ,(1,1,3 ),(0,4,5, ) from a

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  5. The coplanar points (1,2,4 ),(-2,2,1 ), (2,4,-3 ) ,(5,4,0) form

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  6. The coplanar points (3,2,5) , (2,1,1),(-1,4,1 ),(0,5,5) form a

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  7. The midpoint of the line segment joining (2,3,-1 ), (4,5,3,) is

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  8. If (2,3,-1 ), is the midpoint of bar(AB) Where A = (-1,5,3 ) then B =

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  9. The points which divides the join of (3,-2,1 ) and (-2,3,11 ) in the r...

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  10. The point which divides the line segment joining the points (1,2,3 ), ...

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  11. The point which divides the line segment joining the points (1,-1,2 ) ...

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  12. The coordinates of the point which divides the line joining the points...

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  13. If the line joining A (1,3, 4 )and B is divided by the point (-2, 3,5 ...

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  14. The points of trisection of line segment joining (2,-3,5 ) ,(3,1,-2 ) ...

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  15. The ratio in which (5, 4,-6 ) divides the line segment joining (3,2,-4...

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  16. If A (3,2,-4 ), B (5,4 -6 ),C (9,8,10 )are collinear then the ratio in...

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  17. If X-coordinate of a point P on the line joining the points Q (2,2,1 ...

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  18. The ratio in which xy- plane divides the line segment joining (-2,3,1...

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  19. The ratio in which yz-plane divides the line segment joining (3,4,5 ) ...

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  20. The ratio in which yz-plane divides the line segment joining (-3,4,2 )...

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