The distance of a point ( 3, 4, 5 ) from the y – axis is ______.
√34
√41
4
5
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
A plane meets the co - ordinates axis at A, B and C such tht the centroid of the triangle is ( 3, 3, 3 ). The equation of the plane is _______.
x + y + z = 3.
x+ y + z = 9
3x + 3y + 3z = 1
9x + 9y + 9z = 9
If A ( -1, -1, -1 ) and B ( 1, 2, 3 ) are the points, then distance between A and B, is ________.
√5
√21
√29
√3
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 shortest distance of the point ( a, b, c ) from the x – axis is _______.
The intercepts of the plane 5x - 3y + 6 z = 60 on the co - ordinates axes are ________.
( 10, 20, -10 )
( 10, -20, 12 )
( 12, -20, 10 )
( 12, 20, -10 )
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 is____.
( -1, -1 , -1 )
( 1, -3, 4 )
(2, 0, -1)
( 1, 3, 4 )
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 )
