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Three Dimension...

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  • Question 1
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    The distance of the point (3, 4, 5) from X- axis is  

  • Question 2
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    The direction cosines of X -axis are

  • Question 3
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    The medians of a triangle are concurrent at the point called

  • Question 4
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    The direction cosines of any normal to the XY plane are

  • Question 5
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    How many lines through the origin make equal angles with the coordinate axes?

  • Question 6
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    The numbers 3, 4 , 5 can be

  • Question 7
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    If the direction cosines of a straight line are  < k , k , k  > , then

  • Question 8
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    Volume of a tetrahedron is k X area of one face X length of perpendicular from the opposite vertex upon it, where k is

  • Question 9
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    The radius of the sphere through the points (4 ,3 , 0) , (0 , 4 , 3) ,(0 , 5 , 0) and (4 , 0 , 3) is

  • Question 10
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    The points (4,7,8) ,(2, 3,4),(- 1, -2 , 1) and (1, 2, 5) are the vertices of a

  • Question 11
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    The equation xy = 0 in three dimensional space represents

  • Question 12
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    The graph of the equation  x2 +y2  = 0 in the three dimensional space is

  • Question 13
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    In three dimensional space, locus of the equation  x2 +z2  = 0x2 +z2  = 0 is

  • Question 14
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    The distance of the point (x , y , z) from the XY –plane is

  • Question 15
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    The angle between the lines x = 1 , y = 2 and y = - 1 , z = 0 is

  • Question 16
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    The line x = 1 , y = 2 is

  • Question 17
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    The equation (x –1) (x –2) = 0 represents, in three dimensional space, a

  • Question 18
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    A point (x , y , z) moves parallel to X- axis. Which of the three variables x , y , z remain fixed ?

  • Question 19
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    A point (x , y , z) moves parallel to XY - plane. Which of the three variables x, y, z remain fixed ?

  • Question 20
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    The plane x=0 divides the joinning of (−2,3,4) and (1,−2,3) in the ratio :

  • Question 21
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    The direction cosines of the line joining (1 , - 1 , 1) , and (-1 , 1 , 1) are

  • Question 22
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    The line  

  • Question 23
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    The line  x = x1 , y = y1  is

  • Question 24
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    The locus of the equation xy + yz = 0 is

  • Question 25
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    The number of spheres of a given radius r and touching the coordinate axes is

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