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If the extremities of a diagonal of a sq...

If the extremities of a diagonal of a square are (1,2,3) and (2,-3,5), then its side is of length

A

`sqrt(6)`

B

15

C

`sqrt(15)`

D

3

Text Solution

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The correct Answer is:
C
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SIA PUBLICATION-THREE DIMENSIONAL COORDINATES DIRECTION COSINES AND DIRECTION RATIOS AND PLANE -Problems
  1. If the extremities of a diagonal of a square are (1,2,3) and (2,-3,5),...

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  2. A(4,3,5),B(0,-2,2)and C(3,2,1) are three points .The coordinates of th...

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  3. Plane meets the coordinate axes in P,Q,R respectively .If the centroi...

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  4. Match the following

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  5. If (2,-1,2) and (K,3,5) are the traids of direction ratios of two ...

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  6. The length of perpendicular from the origin to the plane which make...

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

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  8. If the direction cosines of two lines are givenby l+m+n=0 and l^(2)...

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  9. If A(3,4,5),B(4,6,3),C(-1,2,4) and D(-1,2,4) are such that the angle ...

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  10. If D(2,1,0) , E (2,0,0) and F(0,1,0) are mid - points of the sides B...

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  11. The direction ratios of the two lines AB and AC are (,-1,-1,-1) and (...

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  12. A plane passing through (-1,2,3) and whose normal makes equal angles w...

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  13. A variable plane passes through a fixed point (1,2,3) Then , the foot...

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  14. If x - coordinate of a point P on the line joining the [points Q(2,2...

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  15. A straight line is equally inclined to all the three coordinate axes. ...

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  16. If the foot of the perpendicular from (0,0,0) to a plane is (1,2,3) ...

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  17. The equation of the sphere through the points (1,0,0),(0,1,0)and (1,1,...

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  18. If the angle made by a straight line with the coordinate axes are alph...

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  19. The ratio in which the line joining (2,-4,3)and (-4,5,-6) is divided ...

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  20. A plane passes through (2,3,-1) and is perpendicular to the line havi...

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