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If a parallelopiped is formed by planes ...

If a parallelopiped is formed by planes drawn
through the points (2, 5, 3) and (6, 7, 9) parallel to
the coordinate planes, then the length of its
diagonal is

A

`sqrt48` units

B

`2sqrt(14)` units

C

`3sqrt(14)` units

D

`sqrt(14)` units

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - A
  1. Equation of XZ-plane is

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  2. A point on y-axis at a distance sqrt(20) units from the point (2, 2,...

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  3. If a parallelopiped is formed by planes drawn through the points (2,...

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  4. Verify the following: (0," "7," "10) , (1," "6," "6) and (" "4," "9,"...

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  5. In which ratio the line segment joining the points (2, 4, 5) and (3,...

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  6. In which ratio the line segment joining the points (3, 4, 10) and (-...

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  7. In which ratio the line segment joining the points (3, 0, 5) and (-2,...

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  8. The length of the foot of perpendicular drawn from point (3, 4, 5) ...

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  9. What is the perpendicular distance of the point (6, 7, 5) from YZ-p...

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  10. If L is the foot of the perpendicular from Q(-3, 6, 7) on the XY-pla...

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  11. The coordinates of the foot of the perpendicular drawn from the point ...

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  12. The image of the point (-2, 3, 5) in XY-plane is

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  13. If the image of the point (-4, 3, -5) in XZ-plane is Q then the coor...

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  14. If the extremities of the diagonal of a square are (1, -2, 3) and (3...

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  15. If P(0, 1, 2), Q(4, -2, 1) and R(0, 0, 0) are three points, then ang...

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  16. If origin is the centroid of the triangle with vertices P(3a, 3, 6),...

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  17. A point with y-coordinate 6 lies on the line segment joining the poi...

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  18. If the three vertices of a parallelogram ABCD are A(3, -1, 5), B(1, ...

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  19. If the points A(3,2,-4),\ B(9,8,-10)a n d\ C(5,4,-6) are collinear, fi...

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  20. Find the ratio in which the join the A(2,1,5)a n dB(3,4,3) is divided ...

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