The co – ordinates of the point, which divides the line joining of points ( 2, 3, 4 ) and ( 3, - 4, 7 ) externally in the ratio of 2 : 4, are _____.
( 10, 1, 1 )
( 1, 10,1 )
( 10, -10, 10 )
( 1, 1, 10 )
The direction cosines of the normal to the plane 3x + 4y + 12 z = 52 are:
3, 4, 12
-3, -4, -12
3/13, 4/13, 12/13
The direction cosines of the line joining the points (4,3,-5) and (-2,1,-8) are _____.
(6/7 , 2/7 , 3/7 )
(2/7 , 3/7 , 6/7 )
(6/7 , 3/7 , 2/7 )
None of these
The direction ratios of the line segment joining the points ( 3, -2, 4 ) and ( 4, 1, 3 ) is _____.
( -1, 1, 2)
( 3, 2, -3 )
( 1, 3, -1)
( 4, 2, 7 )
The co- ordinates of the point which divides the line segment joining the points ( 5, 4, 2 ) and ( -1, -2, 4 ) in the ratio (2 : 3 ) externally is _____.
( 13/5, 8/5, 14/5)
( 17, 16, -2)
( 17/5, 16/5, -2/5 )
( 17, -8, -14 )
The direction ratios of the lines x - y + z - 5 = 0 and x - 3y - 6 = 0 are ______.
( 3, 1, - 2 )
( 2, - 4, 1 )
The direction cosines of the nromal to the plane 3x - 4y + 5z = 0.
3/5, -4/5, 1/5
The distance of a point ( 3, 4, 5 ) from the y – axis is ______.
√34
√41
4
5
The diection ratios of the line segment joining from origin to the point ( 2, -3, 6 ) is _______.
( 1, 0, 0 )
( 2, 2, 6 )
( 2, -3, 6 )
( 0, -1, 6 )
If cos α, cos β cos γ are direction cosines of a straight line, then the value of sin2 α + sin2 β + cos2 γ is ______.
1
2
3/2
4/3
