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 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 )
If the line makes angle α, β and γ with x- axis, y - axis and z - axis, then the value of cos 2α + cos 2 β + cos 2 γ is _____.
-1
1
-2
2
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 direction cosines of the nromal to the plane 3x - 4y + 5z = 0.
3/5, -4/5, 1/5
The equation of a plane, which cuts equal intercepts of unit length on the axes, is _______.
x + y + z = 0
x + y + z = 1
x + y - z = 1
x/a+ y/a + z/a = 1
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 )
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
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 )
